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DLMF: Chapter 10 Bessel Functions

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Chapter 10 Bessel Functions

F. W. J. Olver Institute for Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, Maryland. L. C. Maximon Center for Nuclear Studies, Department of Physics, The George Washington University, Washington, D.C.

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Acknowledgements:: This chapter is based in part on Abramowitz and Stegun (1964, Chapters 9, 10, and 11) by F. W. J. Olver, H. A. Antosiewicz, and Y. L. Luke, respectively. The authors are pleased to acknowledge assistance of Martin E. Muldoon with §§10.21 and 10.42, Adri Olde Daalhuis with the verification of Eqs. (10.15.6)–(10.15.9), (10.38.6), (10.38.7), (10.60.7)–(10.60.9), and (10.61.9)–(10.61.12), Peter Paule and Frédéric Chyzak for the verification of Eqs. (10.15.6)–(10.15.9), (10.38.6), (10.38.7), (10.56.1)–(10.56.5), (10.60.4), (10.60.6), (10.60.10), and (10.60.11) by application of computer algebra, Nico Temme with the verification of Eqs. (10.15.6)–(10.15.9), (10.38.6), and (10.38.7), and Roderick Wong with the verification of §§10.22(v) and 10.43(v).
Notes:: The main references used in writing this chapter are Watson (1944) and Olver (1997b).
Referenced by:: §3.10(ii), New Associate Editors for the DLMF, Profile Diego Dominici, Profile Frank W. J. Olver, Profile Gergő Nemes, Profile Leonard C. Maximon, § ‣ Chapter Authors, § ‣ Chapter Authors, § ‣ Associate Editors, § ‣ Associate Editors, Erratum (V1.1.6) for Chapters 10 Bessel Functions, 18 Orthogonal Polynomials, 34 3j, 6j, 9j Symbols, Erratum (V1.1.6) for Chapters 1 Algebraic and Analytic Methods, 10 Bessel Functions, 14 Legendre and Related Functions, 18 Orthogonal Polynomials, 29 Lamé Functions, Version 1.2.0 (March 27, 2024), § ‣ Software Cross Index
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9.20 Software 10.1 Special Notation

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