Chapter 10 Bessel Functions

Acknowledgments:: 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), Frank W. J. Olver, Leonard C. Maximon, § ‣ § Software Cross Index
Permalink:: http://dlmf.nist.gov/10

Institute for Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, Maryland.

Center for Nuclear Studies, Department of Physics, The George Washington University, Washington, D.C.