Title Asymptotic forms of Whittaker's confluent hypergeometric functions / by A. Erdélyi and C.A. Swanson

Published Providence, R.I. : American Mathematical Society, 1957

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Description 1 online resource (50 pages) Series Memoirs of the American Mathematical Society ; no. 25 Memoirs of the American Mathematical Society ; no. 25. Contents 1. Introduction 2. Confluent hypergeometric functions 3. Bessel functions 4. Airy functions 5. The Bessel comparison functions 6. The functions $U$ and $T$ 7. Asymptotic forms for the functions $u_r$ and $u_r'$ 8. The Airy comparison functions 9. Asymptotic forms for the functions $v_r$ and $v_r'$ 10. Asymptotic forms for Whittaker functions 11. Asymptotic forms for Coulomb wave functions 12. Simplified asymptotic forms for restricted $x$-intervals Bibliography Includes bibliographical references (pages 49-50) Notes Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL English digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL Print version record Subject Coulomb functions. Hypergeometric functions. Functional differential equations -- Asymptotic theory. Differential equations, Linear -- Asymptotic theory. Airy functions. Airy functions Coulomb functions Differential equations, Linear -- Asymptotic theory Functional differential equations -- Asymptotic theory Hypergeometric functions Hypergeometrische functies. Asymptotische verdeling. Form Electronic book Author Swanson, C. A. (Charles Andrew), 1929- ISBN 9780821899670 0821899678

Other Titles Whittaker's confluent hypergeometric functions

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