On the expansion of confluent hypergeometric functions in terms of Bessel functions

✍ Scribed by N.M. Temme

• Publisher: Elsevier Science
• Year: 1981
• Tongue: English
• Weight: 427 KB
• Volume: 7
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/0771-050x(81)90004-8

✦ Synopsis

For the confluent hypergeometric functions U (a, b, z) and M (a, b, z) asymptotic expansions are given for a -~ ,o. The expansions contain modified Bessel functions. For real values of the parameters rigorous error bounds are given.