Bibliography Bibliography I Bibliography K

Bibliography J

J. D. Jackson (1999) Classical Electrodynamics. 3rd edition, John Wiley & Sons Inc., New York.
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External Links:

ISBN 0-471-30932-X, MathReview (T. Kahan), ZentralBlatt

Referenced by:

§10.73(i), §10.73(i), §10.73(ii).

Encodings:

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C. G. J. Jacobi (1829) Fundamenta Nova Theoriae Functionum Ellipticarum. Regiomonti, Sumptibus fratrum Bornträger.
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Notes:

Reprinted in Werke, Vol. I, pp. 49–239, Herausgegeben von C. W. Borchardt, Berlin, Verlag von G. Reimer, 1881.

External Links:

Werke TOC

Referenced by:

§27.13(iv).

Encodings:

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D. Jacobs and F. Lambert (1972) On the numerical calculation of polylogarithms. Nordisk Tidskr. Informationsbehandling (BIT) 12 (4), pp. 581–585.
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External Links:

Document, MathReview, ZentralBlatt

Referenced by:

§25.18(i).

Encodings:

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L. Jacobsen, W. B. Jones, and H. Waadeland (1986) Further results on the computation of incomplete gamma functions. In Analytic Theory of Continued Fractions, II (Pitlochry/Aviemore, 1985), W. J. Thron (Ed.), Lecture Notes in Math. 1199, pp. 67–89.
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External Links:

MathReview (Marietta J. Tretter), ZentralBlatt

Referenced by:

§8.25(iv).

Encodings:

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L. Jager (1997) Fonctions de Mathieu et polynômes de Klein-Gordon. C. R. Acad. Sci. Paris Sér. I Math. 325 (7), pp. 713–716 (French).
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Notes:

Translated title: Mathieu functions and Klein-Gordon polynomials.

External Links:

ISSN 0764-4442, Document, MathReview, ZentralBlatt

Referenced by:

7th item.

Encodings:

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L. Jager (1998) Fonctions de Mathieu et fonctions propres de l’oscillateur relativiste. Ann. Fac. Sci. Toulouse Math. (6) 7 (3), pp. 465–495 (French).
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Notes:

Translated title: Mathieu functions and eigenfunctions of the relativistic oscillator.

External Links:

ISSN 0240-2963, Pdf, MathReview (Jean-Michel Ghez), ZentralBlatt

Referenced by:

7th item.

Encodings:

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D. L. Jagerman (1974) Some properties of the Erlang loss function. Bell System Tech. J. 53, pp. 525–551.
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External Links:

ISSN 0005-8580, MathReview (U. Narayan Bhat), ZentralBlatt

Referenced by:

§8.23.

Encodings:

BibTeX
E. Jahnke, F. Emde, and F. Lösch (1966) Tafeln höherer Funktionen (Tables of Higher Functions). 7th edition, B. G. Teubner, Stuttgart (Bilingual).
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Notes:

Reprint of sixth edition (McGraw-Hill, New York, 1960) with corrections and updated bibliography. The sixth edition is a completely revised and enlarged version of Jahnke and Emde (1945). In German and English.

External Links:

MathReview

Referenced by:

§19.1, §28.3(i).

Encodings:

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E. Jahnke and F. Emde (1945) Tables of Functions with Formulae and Curves. 4th edition, Dover Publications, New York.
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Notes:

Contains corrections and enlargements of earlier editions. Originally published by B. G. Teubner, Leipzig, in 1933. In German and English.

External Links:

MathReview, ZentralBlatt

Referenced by:

2nd item, §20.15, §5.1, Notations P, E. Jahnke, F. Emde, and F. Lösch (1966).

Encodings:

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A. T. James (1964) Distributions of matrix variates and latent roots derived from normal samples. Ann. Math. Statist. 35 (2), pp. 475–501.
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External Links:

FullText, MathReview (I. Olkin), ZentralBlatt

Referenced by:

§35.11, §35.4(i), §35.4(ii), §35.8(i), §35.8(ii), §35.8(iv), §35.9, Ch.35.

Encodings:

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J. K. M. Jansen (1977) Simple-periodic and Non-periodic Lamé Functions. Mathematical Centre Tracts, No. 72, Mathematisch Centrum, Amsterdam.
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External Links:

ISBN 90-6196-130-0, MathReview (V. P. Madan)

Referenced by:

§29.1, §29.1, §29.18(i), §29.19(i), §29.20(i), §29.20(i), §29.22(ii), §29.3(v), §29.6(i), §29.6(ii), §29.6(iii), §29.6(iv), Ch.29, Notations L, Notations L, Notations L, Notations L.

Encodings:

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S. Janson, D. E. Knuth, T. Łuczak, and B. Pittel (1993) The birth of the giant component. Random Structures Algorithms 4 (3), pp. 231–358.
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Notes:

With an introduction by the editors

External Links:

ISSN 1042-9832, Document, MathReview (Alan M. Frieze), ZentralBlatt

Referenced by:

§16.23(ii), §9.13(ii).

Encodings:

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A. J. E. M. Janssen (2021) Bounds on Dawson’s integral occurring in the analysis of a line distribution network for electric vehicles. Eurandom Preprint Series Technical Report 14, Eurandom, Eindhoven, The Netherlands.
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Notes:

ISSN 1389-2355

External Links:

FullText

Referenced by:

§7.8, §7.8.

Encodings:

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D. K. Jefferson (1961) Algorithm 73: Incomplete elliptic integrals. Comm. ACM 4 (12), pp. 543.
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Notes:

Includes Algol program. For certification see same journal 6 (1963), p. 167, for remark see same journal 5 (1962), p. 514

External Links:

ISSN 0001-0782, Document

Referenced by:

§19.39(iii).

Encodings:

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D. J. Jeffrey, R. M. Corless, D. E. G. Hare, and D. E. Knuth (1995) Sur l’inversion de $y^{\alpha}e^{y}$ au moyen des nombres de Stirling associés. C. R. Acad. Sci. Paris Sér. I Math. 320 (12), pp. 1449–1452.
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External Links:

ISSN 0764-4442, MathReview (F. Beukers), ZentralBlatt

Referenced by:

(4.13.10).

Encodings:

BibTeX
D. J. Jeffrey and N. Murdoch (2017) Stirling Numbers, Lambert W and the Gamma Function. In Mathematical Aspects of Computer and Information Sciences, J. Blömer, I. S. Kotsireas, T. Kutsia, and D. E. Simos (Eds.), Cham, pp. 275–279.
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External Links:

ISBN 978-3-319-72453-9, ZentralBlatt

Referenced by:

§4.13.

Encodings:

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H. Jeffreys and B. S. Jeffreys (1956) Methods of Mathematical Physics. 3rd edition, Cambridge University Press, Cambridge.
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Notes:

Reprinted in 1999.

External Links:

MathReview, ZentralBlatt

Referenced by:

§10.1, §12.17, Ch.14, Ch.6, §7.18(iv), Ch.9, Notations H, Notations H, Notations K.

Encodings:

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H. Jeffreys (1928) The effect on Love waves of heterogeneity in the lower layer. Monthly Notices Roy. Astronom. Soc. Geophysical Supplement 2, pp. 101–111.
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External Links:

ZentralBlatt

Referenced by:

§9.1.

Encodings:

BibTeX
U. D. Jentschura and E. Lötstedt (2012) Numerical calculation of Bessel, Hankel and Airy functions. Computer Physics Communications 183 (3), pp. 506–519.
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External Links:

Document, FullText, ZentralBlatt

Referenced by:

§10.19(iii), §10.19(iii).

Encodings:

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A. J. Jerri (1982) A note on sampling expansion for a transform with parabolic cylinder kernel. Inform. Sci. 26 (2), pp. 155–158.
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External Links:

ISSN 0020-0255, Document, MathReview, ZentralBlatt

Referenced by:

§12.16.

Encodings:

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M. Jimbo, T. Miwa, Y. Môri, and M. Sato (1980) Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Phys. D 1 (1), pp. 80–158.
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External Links:

ISSN 0167-2789, Document, MathReview, ZentralBlatt

Referenced by:

§32.16.

Encodings:

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M. Jimbo and T. Miwa (1981) Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II. Phys. D 2 (3), pp. 407–448.
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External Links:

ISSN 0167-2789, Document, MathReview (V. A. Golubeva), ZentralBlatt

Referenced by:

§32.4(i), §32.4(ii), §32.4(iv), §32.4(v), §32.6(ii), §32.6(iii), §32.6(iv), §32.6(v), §32.6(v), §32.6(v).

Encodings:

BibTeX
X.-S. Jin and R. Wong (1998) Uniform asymptotic expansions for Meixner polynomials. Constr. Approx. 14 (1), pp. 113–150.
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External Links:

ISSN 0176-4276, Document, MathReview (Richard B. Paris), ZentralBlatt

Referenced by:

§18.24, §2.4(vi).

Encodings:

BibTeX
X.-S. Jin and R. Wong (1999) Asymptotic formulas for the zeros of the Meixner polynomials. J. Approx. Theory 96 (2), pp. 281–300.
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External Links:

ISSN 0021-9045, Document, MathReview (N. Hayek Calil), ZentralBlatt

Referenced by:

§18.24.

Encodings:

BibTeX
H. K. Johansen and K. Sørensen (1979) Fast Hankel transforms. Geophysical Prospecting 27 (4), pp. 876–901.
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External Links:

Document

Referenced by:

§10.74(vii).

Encodings:

BibTeX
F. Johansson (2012) Efficient implementation of the Hardy-Ramanujan-Rademacher formula. LMS J. Comput. Math. 15, pp. 341–359.
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External Links:

ISSN 1461-1570, Document, Link, MathReview (Tim Huber), ZentralBlatt

Referenced by:

§27.20.

Encodings:

BibTeX
J. H. Johnson and J. M. Blair (1973) REMES2 — a Fortran program to calculate rational minimax approximations to a given function. Technical Report Technical Report AECL-4210, Atomic Energy of Canada Limited. Chalk River Nuclear Laboratories, Chalk River, Ontario.
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Referenced by:

§3.11(iii).

Encodings:

BibTeX
N. L. Johnson, S. Kotz, and N. Balakrishnan (1994) Continuous Univariate Distributions. 2nd edition, Vol. I, John Wiley & Sons Inc., New York.
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External Links:

ISBN 0-471-58495-9, MathReview (D. N. Shanbhag), ZentralBlatt

Referenced by:

§7.20(iii), §8.23.

Encodings:

BibTeX

N. L. Johnson, S. Kotz, and N. Balakrishnan (1995) Continuous Univariate Distributions. 2nd edition, Vol. II, John Wiley & Sons Inc., New York.
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External Links:

ISBN 0-471-58494-0, MathReview (D. N. Shanbhag), ZentralBlatt

Referenced by:

§8.23.

Encodings:

BibTeX
W. R. Johnson (2007) Atomic Structure Theory: Lectures on Atomic Physics. Springer, Berlin and Heidelberg.
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External Links:

ISBN 978-3-540-68010-9

Referenced by:

§33.22(iv).

Encodings:

BibTeX
D. S. Jones, M. J. Plank, and B. D. Sleeman (2010) Differential equations and mathematical biology. Chapman & Hall/CRC Mathematical and Computational Biology Series, CRC Press, Boca Raton, FL.
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Notes:

Second edition of Jones and Sleeman (2003)

External Links:

ISBN 978-1-4200-8357-6, MathReview Entry, ZentralBlatt

Referenced by:

Profile Brian D. Sleeman.

Encodings:

BibTeX
D. S. Jones and B. D. Sleeman (2003) Differential equations and mathematical biology. Chapman & Hall/CRC Mathematical Biology and Medicine Series, Chapman & Hall/CRC, Boca Raton, FL.
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Notes:

A second edition was published in 2010.

External Links:

ISBN 1-58488-296-4, MathReview (Jian Hong Wu), ZentralBlatt

Referenced by:

D. S. Jones, M. J. Plank, and B. D. Sleeman (2010).

Encodings:

BibTeX
D. S. Jones (1964) The Theory of Electromagnetism. International Series of Monographs on Pure and Applied Mathematics, Vol. 47. A Pergamon Press Book, The Macmillan Co., New York.
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External Links:

MathReview (W. E. Williams), ZentralBlatt

Referenced by:

§23.21(iii).

Encodings:

BibTeX
D. S. Jones (1972) Asymptotic behavior of integrals. SIAM Rev. 14 (2), pp. 286–317.
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External Links:

Document, MathReview (A. Erdelyi), ZentralBlatt

Referenced by:

Ch.2.

Encodings:

BibTeX
D. S. Jones (1986) Acoustic and Electromagnetic Waves. Oxford Science Publications, The Clarendon Press Oxford University Press, New York.
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External Links:

ISBN 0-19-853365-9, MathReview (John A. DeSanto)

Referenced by:

§10.73(i).

Encodings:

BibTeX
D. S. Jones (1997) Introduction to Asymptotics: A Treatment Using Nonstandard Analysis. World Scientific Publishing Co. Inc., River Edge, NJ.
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External Links:

ISBN 981-02-2915-1, MathReview (W. A. J. Luxemburg), ZentralBlatt

Referenced by:

Ch.2.

Encodings:

BibTeX
D. S. Jones (2001) Asymptotics of the hypergeometric function. Math. Methods Appl. Sci. 24 (6), pp. 369–389.
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External Links:

ISSN 0170-4214, Document, MathReview, ZentralBlatt

Referenced by:

§14.15(iii), §15.12(iii).

Encodings:

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D. S. Jones (2006) Parabolic cylinder functions of large order. J. Comput. Appl. Math. 190 (1-2), pp. 453–469.
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External Links:

ISSN 0377-0427, Document, MathReview Entry, ZentralBlatt

Referenced by:

§12.10(vi).

Encodings:

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W. B. Jones and W. J. Thron (1974) Numerical stability in evaluating continued fractions. Math. Comp. 28 (127), pp. 795–810.
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External Links:

FullText, MathReview (N. N. Abdelmalek), ZentralBlatt

Referenced by:

§3.10(iii).

Encodings:

BibTeX
W. B. Jones and W. J. Thron (1985) On the computation of incomplete gamma functions in the complex domain. J. Comput. Appl. Math. 12/13, pp. 401–417.
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External Links:

ISSN 0377-0427, Document, MathReview (M. Marsden), ZentralBlatt

Referenced by:

§8.25(iv), §8.9.

Encodings:

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W. B. Jones and W. J. Thron (1980) Continued Fractions: Analytic Theory and Applications. Encyclopedia of Mathematics and its Applications, Vol. 11, Addison-Wesley Publishing Co., Reading, MA.
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External Links:

ISBN 0-201-13510-8, MathReview (E. Frank), ZentralBlatt

Referenced by:

§1.12(ii), §1.12(iii), §1.12(iv), §1.12(v), §13.17, §13.17, §13.5, §13.5, §4.25, §5.10.

Encodings:

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W. B. Jones and W. Van Assche (1998) Asymptotic behavior of the continued fraction coefficients of a class of Stieltjes transforms including the Binet function. In Orthogonal functions, moment theory, and continued fractions (Campinas, 1996), Lecture Notes in Pure and Appl. Math., Vol. 199, pp. 257–274.
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External Links:

MathReview (Olav Njåstad), ZentralBlatt

Referenced by:

§5.10, §5.10.

Encodings:

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A. Jonquière (1889) Note sur la série $\sum_{n=1}^{\infty}x^{n}/n^{s}$ . Bull. Soc. Math. France 17, pp. 142–152 (French).
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External Links:

ISSN 0037-9484, MathReview Entry, ZentralBlatt

Referenced by:

§25.12(ii).

Encodings:

BibTeX
C. Jordan (1939) Calculus of Finite Differences. Hungarian Agent Eggenberger Book-Shop, Budapest.
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Notes:

Third edition published in 1965 by Chelsea Publishing Co., New York, and American Mathematical Society, AMS Chelsea Book Series, Providence, RI

External Links:

MathReview (W. E. Milne), ZentralBlatt

Referenced by:

§26.1, §26.1, §26.8(vii), §5.16, Notations S.

Encodings:

BibTeX
C. Jordan (1965) Calculus of Finite Differences. 3rd edition, AMS Chelsea, Providence, RI.
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External Links:

MathReview, ZentralBlatt

Referenced by:

§24.17(i), §24.6.

Encodings:

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S. Jorna and C. Springer (1971) Derivation of Green-type, transitional and uniform asymptotic expansions from differential equations. V. Angular oblate spheroidal wavefunctions $\overline{ps}\,^{r}_{n}(\eta,h)$ and $\overline{qs}\,^{r}_{n}(\eta,h)$ for large $h$ . Proc. Roy. Soc. London Ser. A 321, pp. 545–555.
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External Links:

FullText, MathReview, ZentralBlatt

Referenced by:

§30.9(ii).

Encodings:

BibTeX
N. Joshi and A. V. Kitaev (2001) On Boutroux’s tritronquée solutions of the first Painlevé equation. Stud. Appl. Math. 107 (3), pp. 253–291.
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External Links:

ISSN 0022-2526, Document, MathReview, ZentralBlatt

Referenced by:

§32.12(i).

Encodings:

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N. Joshi and A. V. Kitaev (2005) The Dirichlet boundary value problem for real solutions of the first Painlevé equation on segments in non-positive semi-axis. J. Reine Angew. Math. 583, pp. 29–86.
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External Links:

ISSN 0075-4102, Document, MathReview (Mehmet Can), ZentralBlatt

Referenced by:

§32.11(i).

Encodings:

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N. Joshi and M. D. Kruskal (1992) The Painlevé connection problem: An asymptotic approach. I. Stud. Appl. Math. 86 (4), pp. 315–376.
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External Links:

ISSN 0022-2526, MathReview (I. P. Martynov), ZentralBlatt

Referenced by:

§32.11(i), §32.12(ii).

Encodings:

BibTeX
G. S. Joyce (1973) On the simple cubic lattice Green function. Philos. Trans. Roy. Soc. London Ser. A 273, pp. 583–610.
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External Links:

FullText, MathReview, ZentralBlatt

Referenced by:

§31.17(ii).

Encodings:

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G. S. Joyce (1994) On the cubic lattice Green functions. Proc. Roy. Soc. London Ser. A 445, pp. 463–477.
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External Links:

ISSN 0962-8444, FullText, MathReview (Peter J. Forrester), ZentralBlatt

Referenced by:

§31.17(ii), §31.7(i).

Encodings:

BibTeX
JTEM (website) Java Tools for Experimental Mathematics
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Notes:

Single and double precision. Contains packages to compute elliptic functions, Riemann theta functions and their derivatives, and Riemann matrices for Riemann surfaces.

External Links:

Home Page

Referenced by:

§ ‣ Software Cross Index.

Encodings:

BibTeX
B. R. Judd (1975) Angular Momentum Theory for Diatomic Molecules. Academic Press, New York.
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External Links:

ISBN 0-12-391950-9

Referenced by:

§30.12, §34.12, Profile Brian R. Judd.

Encodings:

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B. R. Judd (1976) Modifications of Coulombic interactions by polarizable atoms. Math. Proc. Cambridge Philos. Soc. 80 (3), pp. 535–539.
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External Links:

ISSN 0305-0041, Document, MathReview (Cataldo Agostinelli)

Referenced by:

§34.12.

Encodings:

BibTeX
B. R. Judd (1998) Operator Techniques in Atomic Spectroscopy. Princeton University Press, Princeton, NJ.
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External Links:

ISBN 0-691-05901-2

Referenced by:

§34.12, Profile Brian R. Judd.

Encodings:

BibTeX
G. Julia (1918) Memoire sur l’itération des fonctions rationnelles. J. Math. Pures Appl. 8 (1), pp. 47–245 (French).
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External Links:

FullText, ZentralBlatt

Referenced by:

§3.8(viii).

Encodings:

BibTeX

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