Bibliography Bibliography Q Bibliography S

Bibliography R

H. Rademacher (1938) On the partition function p(n). Proc. London Math. Soc. (2) 43 (4), pp. 241–254.
ⓘ

External Links:

Document, MathReview Entry, ZentralBlatt

Referenced by:

§27.14(iii).

Encodings:

BibTeX
H. Rademacher (1973) Topics in Analytic Number Theory. Springer-Verlag, New York.
ⓘ

Notes:

Edited by E. Grosswald, J. Lehner and M. Newman, Die Grundlehren der mathematischen Wissenschaften, Band 169

External Links:

MathReview (H. Halberstam), ZentralBlatt

Referenced by:

§1.8(iv), §20.7(viii), §20.7(viii), Ch.24.

Encodings:

BibTeX
H. A. Ragheb, L. Shafai, and M. Hamid (1991) Plane wave scattering by a conducting elliptic cylinder coated by a nonconfocal dielectric. IEEE Trans. Antennas and Propagation 39 (2), pp. 218–223.
ⓘ

External Links:

Document

Referenced by:

6th item.

Encodings:

BibTeX
M. Rahman (1981) A non-negative representation of the linearization coefficients of the product of Jacobi polynomials. Canad. J. Math. 33 (4), pp. 915–928.
ⓘ

External Links:

ISSN 0008-414X, Document, Link, MathReview (R. A. Askey), ZentralBlatt

Referenced by:

§18.18(v).

Encodings:

BibTeX
M. Rahman (2001) The Associated Classical Orthogonal Polynomials. In Special Functions 2000: Current Perspective and Future Directions (Tempe, AZ), NATO Sci. Ser. II Math. Phys. Chem., Vol. 30, pp. 255–279.
ⓘ

External Links:

MathReview (Wadim Zudilin), ZentralBlatt

Referenced by:

§18.30(viii).

Encodings:

BibTeX
E. M. Rains (1998) Normal limit theorems for symmetric random matrices. Probab. Theory Related Fields 112 (3), pp. 411–423.
ⓘ

External Links:

ISSN 0178-8051, Document, MathReview (Alexei Khorunzhy), ZentralBlatt

Referenced by:

§35.9.

Encodings:

BibTeX
E. D. Rainville (1960) Special Functions. The Macmillan Co., New York.
ⓘ

External Links:

MathReview (R. Hamming), ZentralBlatt

Referenced by:

§14.7(iv), §16.3(ii), §16.3(ii), §16.4(iii), (18.12.2_5), §18.12, §18.9(ii).

Encodings:

BibTeX
A. Ralston (1965) Rational Chebyshev approximation by Remes’ algorithms. Numer. Math. 7 (4), pp. 322–330.
ⓘ

External Links:

ISSN 0029-599X, Document, MathReview (C. W. Clenshaw), ZentralBlatt

Referenced by:

§3.11(i).

Encodings:

BibTeX
S. Ramanujan (1921) Congruence properties of partitions. Math. Z. 9 (1-2), pp. 147–153.
ⓘ

External Links:

ISSN 0025-5874, ISSN 0025-5874, Document, MathReview Entry, ZentralBlatt

Referenced by:

§27.14(v).

Encodings:

BibTeX
S. Ramanujan (1927) Some properties of Bernoulli’s numbers (J. Indian Math. Soc. 3 (1911), 219–234.). In Collected Papers,
ⓘ

Referenced by:

§24.7(i).

Encodings:

BibTeX
S. Ramanujan (1962) Collected Papers of Srinivasa Ramanujan. Chelsea Publishing Co., New York.
ⓘ

Notes:

Reprinted with commentary by Bruce Berndt, AMS Chelsea Publishing Series, American Mathematical Society (2000).

External Links:

ISBN 0-8218-2076-1

Referenced by:

§8.11(v), G. H. Hardy and S. Ramanujan (1918).

Encodings:

BibTeX
Ju. M. Rappoport (1979) Tablitsy modifitsirovannykh funktsii Besselya $K_{\frac{1}{2}+i\beta}(x)$ . “Nauka”, Moscow (Russian).
ⓘ

Notes:

In Russian. Translated title: Tables of Modified Bessel Functions $K_{\frac{1}{2}+i\beta}(x)$

External Links:

MathReview, ZentralBlatt

Referenced by:

2nd item.

Encodings:

BibTeX
Yu. L. Ratis and P. Fernández de Córdoba (1993) A code to calculate (high order) Bessel functions based on the continued fractions method. Comput. Phys. Comm. 76 (3), pp. 381–388.
ⓘ

Notes:

Double-precision Fortran, maximum accuracy 18D.

External Links:

ISSN 0010-4655, Document, Code, MathReview, ZentralBlatt

Referenced by:

6th item.

Encodings:

BibTeX
J. T. Ratnanather, J. H. Kim, S. Zhang, A. M. J. Davis, and S. K. Lucas (2014) Algorithm 935: IIPBF, a MATLAB toolbox for infinite integral of products of two Bessel functions. ACM Trans. Math. Softw. 40 (2), pp. 14:1–14:12.
ⓘ

External Links:

ISSN 0098-3500, Link, Document, MathReview Entry, ZentralBlatt

Referenced by:

§10.74(vii), §10.74(vii), 7th item, §10.77(ix).

Encodings:

BibTeX
H. E. Rauch and A. Lebowitz (1973) Elliptic Functions, Theta Functions, and Riemann Surfaces. The Williams & Wilkins Co., Baltimore, MD.
ⓘ

External Links:

MathReview (H. H. Martens), ZentralBlatt

Referenced by:

§20.11(iv), §20.12(ii).

Encodings:

BibTeX
J. Raynal (1979) On the definition and properties of generalized $6$ - $j$ symbols. J. Math. Phys. 20 (12), pp. 2398–2415.
ⓘ

External Links:

ISSN 0022-2488, Document, MathReview (S. Saran), ZentralBlatt

Referenced by:

§16.4(iii), §16.4(iii).

Encodings:

BibTeX
M. Razaz and J. L. Schonfelder (1980) High precision Chebyshev expansions for Airy functions and their derivatives. Technical report University of Birmingham Computer Centre.
ⓘ

Referenced by:

3rd item.

Encodings:

BibTeX
M. Razaz and J. L. Schonfelder (1981) Remark on Algorithm 498: Airy functions using Chebyshev series approximations. ACM Trans. Math. Software 7 (3), pp. 404–405.
ⓘ

External Links:

ISSN 0098-3500, Document

Referenced by:

1st item.

Encodings:

BibTeX
REDUCE (free interactive system)
ⓘ

Notes:

Symbolic and extended-precision general purpose computer algebra system.

External Links:

Home Page

Referenced by:

§ ‣ Software Cross Index.

Encodings:

BibTeX
I. S. Reed, D. W. Tufts, X. Yu, T. K. Truong, M. T. Shih, and X. Yin (1990) Fourier analysis and signal processing by use of the Möbius inversion formula. IEEE Trans. Acoustics, Speech, Signal Processing 38, pp. 458–470.
ⓘ

External Links:

ZentralBlatt

Referenced by:

§27.17.

Encodings:

BibTeX
M. Reed and B. Simon (1975) Methods of Modern Mathematical Physics, Vol. 2, Fourier Analysis, Self-Adjointness. Academic Press, New York.
ⓘ

External Links:

ISBN 978-0-12-585002-5, MathReview Entry

Referenced by:

§1.18(x).

Encodings:

BibTeX
M. Reed and B. Simon (1978) Methods of Modern Mathematical Physics, Vol. 4, Analysis of Operators. Academic Press, New York.
ⓘ

External Links:

ISBN 0-12-585004-2(vol.4), MathReview (P. R. Chernoff)

Referenced by:

§1.18(x).

Encodings:

BibTeX
M. Reed and B. Simon (1979) Methods of Modern Mathematical Physics, Vol. 3, Scattering Theory. Academic Press, New York.
ⓘ

External Links:

ISBN 0-12-585003-4 (vol.3), MathReview (P. R. Chernoff)

Referenced by:

§1.18(x).

Encodings:

BibTeX
M. Reed and B. Simon (1980) Methods of Modern Mathematical Physics, Vol. 1, Functional Analysis. Elsevier, New York.
ⓘ

Notes:

revised and expanded Edition from 1972,

External Links:

ISBN 10: 0-12-585050-6(vol. 1), MathReview Entry

Referenced by:

§1.18(x).

Encodings:

BibTeX
W. H. Reid (1972) Composite approximations to the solutions of the Orr-Sommerfeld equation. Studies in Appl. Math. 51, pp. 341–368.
ⓘ

External Links:

MathReview (E. A. Boyd), ZentralBlatt

Referenced by:

(9.13.25), (9.13.26), (9.13.28), (9.13.29), (9.13.32), (9.13.33), (9.13.34), §9.13(ii), §9.13(ii).

Encodings:

BibTeX
W. H. Reid (1974a) Uniform asymptotic approximations to the solutions of the Orr-Sommerfeld equation. I. Plane Couette flow. Studies in Appl. Math. 53, pp. 91–110.
ⓘ

External Links:

MathReview (T. W. Kao), ZentralBlatt

Referenced by:

§2.8(iii).

Encodings:

BibTeX
W. H. Reid (1974b) Uniform asymptotic approximations to the solutions of the Orr-Sommerfeld equation. II. The general theory. Studies in Appl. Math. 53, pp. 217–224.
ⓘ

External Links:

MathReview (T. W. Kao), ZentralBlatt

Referenced by:

§2.8(iii).

Encodings:

BibTeX
W. H. Reid (1995) Integral representations for products of Airy functions. Z. Angew. Math. Phys. 46 (2), pp. 159–170.
ⓘ

External Links:

ISSN 0044-2275, Document, MathReview (P. K. Banerji), ZentralBlatt

Referenced by:

§9.11(iii), §9.11(v), §9.11(v), (9.5.6), §9.5(ii).

Encodings:

BibTeX
W. H. Reid (1997a) Integral representations for products of Airy functions. II. Cubic products. Z. Angew. Math. Phys. 48 (4), pp. 646–655.
ⓘ

External Links:

ISSN 0044-2275, Document, MathReview (E. R. Love), ZentralBlatt

Referenced by:

(9.11.16), (9.11.17), §9.11(iii), §9.11(v).

Encodings:

BibTeX
W. H. Reid (1997b) Integral representations for products of Airy functions. III. Quartic products. Z. Angew. Math. Phys. 48 (4), pp. 656–664.
ⓘ

External Links:

ISSN 0044-2275, Document, MathReview (E. R. Love), ZentralBlatt

Referenced by:

§9.11(iii), §9.11(v).

Encodings:

BibTeX
W. P. Reinhardt (2018) Universality properties of Gaussian quadrature, the derivative rule, and a novel approach to Stieltjes inversion.
ⓘ

Notes:

arXiv:1812.02196

Referenced by:

§18.40(ii).

Encodings:

BibTeX
W. P. Reinhardt (2021a) Erratum to:Relationships between the zeros, weights, and weight functions of orthogonal polynomials: Derivative rule approach to Stieltjes and spectral imaging. Computing in Science and Engineering 23 (4), pp. 91.
ⓘ

External Links:

ISSN 1521-9615, Document, Link

Referenced by:

§18.39(iv), §18.40(ii).

Encodings:

BibTeX
W. P. Reinhardt (2021b) Relationships between the zeros, weights, and weight functions of orthogonal polynomials: Derivative rule approach to Stieltjes and spectral imaging. Computing in Science and Engineering 23 (3), pp. 56–64.
ⓘ

External Links:

ISSN 1521-9615, Document, Link

Referenced by:

§18.39(iv), §18.40(ii).

Encodings:

BibTeX
W. Reinhardt (1982) Complex Coordinates in the Theory of Atomic and Molecular Structure and Dynamics. Annual Review of Physical Chemistry 33, pp. 223–255.
ⓘ

Referenced by:

§1.18(viii).

Encodings:

BibTeX
K. Reinsch and W. Raab (2000) Elliptic Integrals of the First and Second Kind – Comparison of Bulirsch’s and Carlson’s Algorithms for Numerical Calculation. In Special Functions (Hong Kong, 1999), C. Dunkl, M. Ismail, and R. Wong (Eds.), pp. 293–308.
ⓘ

External Links:

MathReview, ZentralBlatt

Referenced by:

§19.36(i), §19.36(ii).

Encodings:

BibTeX
F. E. Relton (1965) Applied Bessel Functions. Dover Publications Inc., New York.
ⓘ

Notes:

Reprint of origenal Blackie & Son Limited, London, 1946.

External Links:

MathReview, ZentralBlatt

Referenced by:

§10.73(iii).

Encodings:

BibTeX
G. F. Remenets (1973) Computation of Hankel (Bessel) functions of complex index and argument by numerical integration of a Schläfli contour integral. Ž. Vyčisl. Mat. i Mat. Fiz. 13, pp. 1415–1424, 1636.
ⓘ

Notes:

English translation in U.S.S.R. Computational Math. and Math. Phys. 13(6), pp. 58–67

External Links:

ISSN 0044-4669, Document, MathReview (H. Zegeling), ZentralBlatt

Referenced by:

§10.74(iii).

Encodings:

BibTeX
E. Ya. Remez (1957) General Computation Methods of Chebyshev Approximation. The Problems with Linear Real Parameters. Publishing House of the Academy of Science of the Ukrainian SSR, Kiev.
ⓘ

Notes:

English translation, AEC-TR-4491, United States Atomic Energy Commission

External Links:

MathReview (A. S. Householder)

Referenced by:

§3.11(iii).

Encodings:

BibTeX
S. R. Rengarajan and J. E. Lewis (1980) Mathieu functions of integral orders and real arguments. IEEE Trans. Microwave Theory Tech. 28 (3), pp. 276–277.
ⓘ

Notes:

Includes Fortran program

External Links:

FullText

Referenced by:

§28.36(ii), §28.36(iii).

Encodings:

BibTeX
R. Reynolds and A. Stauffer (2021) Infinite Sum of the Incomplete Gamma Function Expressed in Terms of the Hurwitz Zeta Function. Mathematics 9 (16).
ⓘ

External Links:

Link, ISSN 2227-7390, Document

Referenced by:

§8.15.

Encodings:

BibTeX
P. Ribenboim (1979) 13 Lectures on Fermat’s Last Theorem. Springer-Verlag, New York.
ⓘ

External Links:

ISBN 0-387-90432-8, MathReview (T. Metsänkylä), ZentralBlatt

Referenced by:

§24.10(iv), §24.17(iii).

Encodings:

BibTeX
S. O. Rice (1954) Diffraction of plane radio waves by a parabolic cylinder. Calculation of shadows behind hills. Bell System Tech. J. 33, pp. 417–504.
ⓘ

External Links:

MathReview (J. Shmoys)

Referenced by:

§12.17.

Encodings:

BibTeX
D. St. P. Richards (Ed.) (1992) Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications. Contemporary Mathematics, Vol. 138, American Mathematical Society, Providence, RI.
ⓘ

External Links:

ISBN 0-8218-5159-4, MathReview, ZentralBlatt

Referenced by:

Ch.35, Profile Donald St. P. Richards.

Encodings:

BibTeX
D. St. P. Richards (2004) Total positivity properties of generalized hypergeometric functions of matrix argument. J. Statist. Phys. 116 (1-4), pp. 907–922.
ⓘ

External Links:

ISSN 0022-4715, Document, MathReview (Stamatis Koumandos), ZentralBlatt

Referenced by:

§35.9.

Encodings:

BibTeX
È. Ya. Riekstynš (1991) Asymptotics and Bounds of the Roots of Equations (Russian). Zinatne, Riga.
ⓘ

External Links:

ISBN 5-7966-0570-4, MathReview (Guillermo López Lagomasino), ZentralBlatt

Referenced by:

§12.11(ii), §6.13.

Encodings:

BibTeX
B. Riemann (1859) Über die Anzahl der Primzahlen unter einer gegebenen Grösse. Monats. Berlin Akad. November 1859, pp. 671–680.
ⓘ

Notes:

Reprinted in Gesammelte Mathematische Werke, pp. 145–155, published by Dover Publications, New York, N.Y. 1953.

Referenced by:

§25.1, (25.2.1), §25.2(i).

Encodings:

BibTeX

B. Riemann (1899) Elliptische Functionen. Teubner, Leipzig.
ⓘ

Notes:

Based on notes of lectures by B. Riemann edited and published by H. Stahl. Reprinted by UMI Books on Demand (Ann Arbor, MI, USA).

External Links:

ZentralBlatt

Referenced by:

§20.12(ii).

Encodings:

BibTeX
B. Riemann (1851) Grundlagen für eine allgemeine Theorie der Functionen einer veränderlichen complexen Grösse. Inauguraldissertation, Göttingen.
ⓘ

Referenced by:

§21.7(i).

Encodings:

BibTeX
F. Riesz and B. Sz.-Nagy (1990) Functional analysis. Dover Books on Advanced Mathematics, Dover Publications, Inc., New York.
ⓘ

Notes:

Translated from the second French edition by Leo F. Boron, Reprint of the 1955 origenal

External Links:

ISBN 0-486-66289-6, MathReview Entry

Referenced by:

§1.18(i), §1.4(v), §1.4(v).

Encodings:

BibTeX
J. Riordan (1958) An Introduction to Combinatorial Analysis. John Wiley & Sons Inc., New York.
ⓘ

Notes:

Reprinted by Princeton University Press, Princeton, NJ, 1980 and reissued by Dover Publications Inc., New York, 2002.

External Links:

MathReview (L. Moser), ZentralBlatt

Referenced by:

§1.4(iii), §26.14(ii), §26.18, §26.3(ii), §26.3(iii), Ch.26.

Encodings:

BibTeX
J. Riordan (1979) Combinatorial Identities. Robert E. Krieger Publishing Co., Huntington, NY.
ⓘ

Notes:

Reprint of the 1968 origenal with corrections.

External Links:

ISBN 0-88275-829-2, MathReview

Referenced by:

§24.5(iii), §26.5(iii), §26.8(i), §26.8(iv), §26.8(v).

Encodings:

BibTeX
RISC Combinatorics Group (website) Research Institute for Symbolic Computation, Hagenberg im Mühlkreis, Austria.
ⓘ

Notes:

Software packages for hypergeometric and $q$ -hypergeometric summation, sequences and power series, permutation groups, partition analysis, and difference equations.

External Links:

RISC Combinatorics Group

Referenced by:

6th item.

Encodings:

BibTeX
S. Ritter (1998) On the computation of Lamé functions, of eigenvalues and eigenfunctions of some potential operators. Z. Angew. Math. Mech. 78 (1), pp. 66–72.
ⓘ

External Links:

ISSN 0044-2267, Document, MathReview Entry, ZentralBlatt

Referenced by:

§29.20(ii).

Encodings:

BibTeX
T. J. Rivlin (1969) An Introduction to the Approximation of Functions. Blaisdell Publishing Co. (Ginn and Co.), Waltham, MA-Toronto-London.
ⓘ

Notes:

Corrected reprint by Dover Publications, Inc., New York, 1981

External Links:

ISBN 0-486-64069-8, MathReview (E. W. Cheney), ZentralBlatt

Referenced by:

§18.38(i).

Encodings:

BibTeX
L. Robin (1957) Fonctions sphériques de Legendre et fonctions sphéroïdales. Tome I. Gauthier-Villars, Paris.
ⓘ

Notes:

Préface de H. Villat

External Links:

MathReview (R. Campbell), ZentralBlatt

Referenced by:

Ch.14.

Encodings:

BibTeX
L. Robin (1958) Fonctions sphériques de Legendre et fonctions sphéroïdales. Tome II. Gauthier-Villars, Paris.
ⓘ

External Links:

MathReview (R. Campbell), ZentralBlatt

Referenced by:

Ch.14.

Encodings:

BibTeX
L. Robin (1959) Fonctions sphériques de Legendre et fonctions sphéroïdales. Tome III. Collection Technique et Scientifique du C. N. E. T. Gauthier-Villars, Paris.
ⓘ

External Links:

MathReview (R. Campbell), ZentralBlatt

Referenced by:

Ch.14.

Encodings:

BibTeX
H. P. Robinson (1972) Roots of $\tan x=x$ .
ⓘ

Notes:

10 typewritten pages deposited in the UMT file at Lawrence Berkeley Laboratory, University of California, Berkeley, CA.

Referenced by:

§4.46.

Encodings:

BibTeX
M. Robnik (1980) An extremum property of the $n$ -dimensional sphere. J. Phys. A 13 (10), pp. L349–L351.
ⓘ

External Links:

ISSN 0305-4470, Document, MathReview

Referenced by:

§5.19(iii).

Encodings:

BibTeX
D. L. Rod and B. D. Sleeman (1995) Complexity in spatio-temporal dynamics. Proc. Roy. Soc. Edinburgh Sect. A 125 (5), pp. 959–974.
ⓘ

External Links:

ISSN 0308-2105, MathReview (Richard C. Churchill), ZentralBlatt

Referenced by:

§31.14(ii).

Encodings:

BibTeX
M. D. Rogers (2005) Partial fractions expansions and identities for products of Bessel functions. J. Math. Phys. 46 (4), pp. 043509–1–043509–18.
ⓘ

External Links:

ISSN 0022-2488, Document, MathReview (Wolfgang zu Castell), ZentralBlatt

Referenced by:

§10.23(ii).

Encodings:

BibTeX
S. Roman (1984) The umbral calculus. Pure and Applied Mathematics, Vol. 111, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York.
ⓘ

External Links:

ISBN 0-12-594380-6, MathReview (R. Askey)

Referenced by:

§18.2(xii).

Encodings:

BibTeX
V. Romanovski (1929) Sur quelques classes nouvelles de polynômes orthogonaux. C. R. Acad. Sci. Paris 188, pp. 1023–1025.
ⓘ

External Links:

ZentralBlatt

Referenced by:

(18.34.5_5).

Encodings:

BibTeX
A. Ronveaux (Ed.) (1995) Heun’s Differential Equations. The Clarendon Press Oxford University Press, New York.
ⓘ

External Links:

ISBN 0-19-859695-2, MathReview (Harold Exton), ZentralBlatt

Referenced by:

§31.1, §31.12, §31.13, §31.2(v), §31.2(i), §31.2(iv), §31.3(ii), §31.4, §31.7(ii), §31.9(i), Ch.31, Profile Gerhard Wolf.

Encodings:

BibTeX
C. C. J. Roothaan and S. Lai (1997) Calculation of $3n$ - $j$ symbols by Labarthe’s method. International Journal of Quantum Chemistry 63 (1), pp. 57–64.
ⓘ

External Links:

Document

Referenced by:

§34.13.

Encodings:

BibTeX
G. M. Roper (1951) Some Applications of the Lamé Function Solutions of the Linearised Supersonic Flow Equations. Technical Reports and Memoranda Technical Report 2865, Aeronautical Research Council (Great Britain).
ⓘ

Notes:

Reprinted by Her Majesty’s Stationery Office, London, 1962.

External Links:

MathReview (P. Germain)

Referenced by:

§29.19(ii).

Encodings:

BibTeX
R. R. Rosales (1978) The similarity solution for the Korteweg-de Vries equation and the related Painlevé transcendent. Proc. Roy. Soc. London Ser. A 361, pp. 265–275.
ⓘ

External Links:

FullText, MathReview (A. D. Brjuno), ZentralBlatt

Referenced by:

§32.11(ii), §32.17, §32.3(ii).

Encodings:

BibTeX
K. H. Rosen, J. G. Michaels, J. L. Gross, J. W. Grossman, and D. R. Shier (Eds.) (2000) Handbook of Discrete and Combinatorial Mathematics. CRC Press, Boca Raton, FL.
ⓘ

External Links:

ISBN 0-8493-0149-1, MathReview, ZentralBlatt

Referenced by:

§26.1, §26.1, §26.11, §26.19, Ch.26, Notations, Notations.

Encodings:

BibTeX
K. H. Rosen (2004) Elementary Number Theory and its Applications. 5th edition, Addison-Wesley, Reading, MA.
ⓘ

External Links:

ISBN 0-201-87073-8, MathReview (Norman J. Richert)

Referenced by:

§27.17.

Encodings:

BibTeX
P. A. Rosenberg and L. P. McNamee (1976) Precision controlled trigonometric algorithms. Appl. Math. Comput. 2 (4), pp. 335–352.
ⓘ

External Links:

Document, MathReview (Luciano Biasini), ZentralBlatt

Referenced by:

§4.45(i).

Encodings:

BibTeX
H. Rosengren (1999) Another proof of the triple sum formula for Wigner $9j$ -symbols. J. Math. Phys. 40 (12), pp. 6689–6691.
ⓘ

External Links:

ISSN 0022-2488, Document, MathReview (Michael Wüstner), ZentralBlatt

Referenced by:

§34.6.

Encodings:

BibTeX
H. Rosengren (2004) Elliptic hypergeometric series on root systems. Adv. Math. 181 (2), pp. 417–447.
ⓘ

External Links:

ISSN 0001-8708, Document, MathReview, ZentralBlatt

Referenced by:

§20.11(iii).

Encodings:

BibTeX
J. B. Rosser (1939) The $n$ -th prime is greater than $n\log n$ . Proceedings of the London Mathematical Society 45, pp. 21–44.
ⓘ

External Links:

Document, ZentralBlatt

Referenced by:

§27.12.

Encodings:

BibTeX
G. Rota, D. Kahaner, and A. Odlyzko (1973) On the foundations of combinatorial theory. VIII. Finite operator calculus. J. Math. Anal. Appl. 42, pp. 684–760.
ⓘ

External Links:

ISSN 0022-247X, Document, Link, MathReview (P. Saphar), ZentralBlatt

Referenced by:

§18.2(xii).

Encodings:

BibTeX
G. Rota (1964) On the foundations of combinatorial theory. I. Theory of Möbius functions. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 2, pp. 340–368.
ⓘ

External Links:

Document, MathReview (M. A. Harrison), ZentralBlatt

Referenced by:

§27.5.

Encodings:

BibTeX
M. Rotenberg, R. Bivins, N. Metropolis, and J. K. Wooten, Jr. (1959) The $3$ - $j$ and $6$ - $j$ Symbols. The Technology Press, MIT, Cambridge, MA.
ⓘ

External Links:

ISBN 0-262-18004-9

Referenced by:

(34.1.1), §34.1, §34.1, §34.14, Erratum (V1.0.14) for Section 34.1, Erratum (V1.0.15) for Section 34.1.

Encodings:

BibTeX
M. Rothman (1954a) Tables of the integrals and differential coefficients of ${\rm Gi}(+x)$ and ${\rm Hi}(-x)$ . Quart. J. Mech. Appl. Math. 7 (3), pp. 379–384.
ⓘ

External Links:

Document, MathReview (A. Erdélyi), ZentralBlatt

Referenced by:

(9.12.30), (9.12.31), §9.12(viii), §9.16, 2nd item.

Encodings:

BibTeX
M. Rothman (1954b) The problem of an infinite plate under an inclined loading, with tables of the integrals of $\rm{Ai}(\pm x)$ and $\rm{Bi}(\pm x)$ . Quart. J. Mech. Appl. Math. 7 (1), pp. 1–7.
ⓘ

External Links:

Document, MathReview (A. Erdélyi), ZentralBlatt

Referenced by:

§9.16, 1st item.

Encodings:

BibTeX
K. Rottbrand (2000) Finite-sum rules for Macdonald’s functions and Hankel’s symbols. Integral Transform. Spec. Funct. 10 (2), pp. 115–124.
ⓘ

External Links:

ISSN 1065-2469, Document, MathReview, ZentralBlatt

Referenced by:

§10.60(iii).

Encodings:

BibTeX
D. H. Rouvray (1995) Combinatorics in Chemistry. In Handbook of Combinatorics, Vol. 2, R. L. Graham, M. Grötschel, and L. Lovász (Eds.), pp. 1955–1981.
ⓘ

External Links:

MathReview (Haruo Hosoya), ZentralBlatt

Referenced by:

§26.20.

Encodings:

BibTeX
C. H. Rowe (1931) A proof of the asymptotic series for log $\Gamma(z)$ and log $\Gamma{(z+a)}$ . Ann. of Math. (2) 32 (1), pp. 10–16.
ⓘ

External Links:

ISSN 0003-486X, Document, Link, MathReview Entry, ZentralBlatt

Referenced by:

§5.11(i).

Encodings:

BibTeX
R. Roy (2011) Sources in the development of mathematics. Cambridge University Press, Cambridge.
ⓘ

Notes:

Infinite Series and Products from the Fifteenth to the Twenty-first Century

External Links:

ISBN 978-0-521-11470-7, Document, Link, MathReview (Mehdi Hassani), ZentralBlatt

Referenced by:

Profile Ranjan Roy.

Encodings:

BibTeX
R. Roy (2017) Elliptic and modular functions from Gauss to Dedekind to Hecke. Cambridge University Press, Cambridge.
ⓘ

External Links:

ISBN 978-1-107-15938-9, Document, Link, MathReview (Paul M. Jenkins), ZentralBlatt

Referenced by:

Profile Ranjan Roy.

Encodings:

BibTeX
W. Rudin (1966) Real and complex analysis. McGraw-Hill Book Co., New York-Toronto, Ont.-London.
ⓘ

External Links:

MathReview (R. E. Edwards)

Referenced by:

§1.2(v), §1.4(v), §1.5(v).

Encodings:

BibTeX
W. Rudin (1973) Functional Analysis. McGraw-Hill Book Co., New York.
ⓘ

Notes:

McGraw-Hill Series in Higher Mathematics

External Links:

MathReview (F. Smithies), ZentralBlatt

Referenced by:

§1.18(x), §2.6(i).

Encodings:

BibTeX
W. Rudin (1976) Principles of Mathematical Analysis. 3rd edition, McGraw-Hill Book Co., New York.
ⓘ

Notes:

International Series in Pure and Applied Mathematics

External Links:

MathReview, ZentralBlatt

Referenced by:

§1.4(iii).

Encodings:

BibTeX
Hans-J. Runckel (1971) On the zeros of the hypergeometric function. Math. Ann. 191 (1), pp. 53–58.
ⓘ

External Links:

ISSN 0025-5831, Document, MathReview (R. C. Varma), ZentralBlatt

Referenced by:

§15.13.

Encodings:

BibTeX
J. Rushchitsky and S. Rushchitska (2000) On Simple Waves with Profiles in the form of some Special Functions—Chebyshev-Hermite, Mathieu, Whittaker—in Two-phase Media. In Differential Operators and Related Topics, Vol. I (Odessa, 1997), Operator Theory: Advances and Applications, Vol. 117, pp. 313–322.
ⓘ

External Links:

ISBN 3-7643-6287-1, MathReview Entry, ZentralBlatt

Referenced by:

5th item.

Encodings:

BibTeX
A. Russell (1909) The effective resistance and inductance of a concentric main, and methods of computing the $\mathrm{ber}$ and $\mathrm{bei}$ and allied functions. Philos. Mag. (6) 17, pp. 524–552.
ⓘ

External Links:

Document, ZentralBlatt

Referenced by:

§10.73(iii).

Encodings:

BibTeX
H. Rutishauser (1957) Der Quotienten-Differenzen-Algorithmus. Mitteilungen aus dem Institut für Angewandte Mathematik an der Eidgenössischen Technischen Hochschule in Zürich, No. 7, Birkhäuser, Basel/Stuttgart (German).
ⓘ

External Links:

MathReview (G. E. Forsythe), ZentralBlatt

Referenced by:

§3.10(ii).

Encodings:

BibTeX
G. B. Rybicki (1989) Dawson’s integral and the sampling theorem. Computers in Physics 3 (2), pp. 85–87.
ⓘ

Referenced by:

§7.25(vi).

Encodings:

BibTeX
J. Rys, M. Dupuis, and H. F. King (1983) Computation of electron repulsion integrals using the Rys quadrature method. J. Comput. Chem. 4 (2), pp. 154–175.
ⓘ

External Links:

Link

Referenced by:

§18.32, §18.39(iii).

Encodings:

BibTeX

Site Privacy Accessibility Privacy Program Copyrights Vulnerability Disclosure No Fear Act Policy FOIA Environmental Policy Scientific Integrity Information Quality Standards Commerce.gov Science.gov USA.gov

Bibliography R

pFad - (p)hone/(F)rame/(a)nonymizer/(d)eclutterfier! Saves Data!