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On the Mellin transform of products of Bessel and generalized hypergeometric functions

✍ Scribed by Allen R. Miller

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
905 KB
Volume
85
Category
Article
ISSN
0377-0427

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✦ Synopsis

We deduce in an elementary way representations for the Mellin transform of a product of Bessel functions OF, [ -a2x2] and generalized hypergeometric functions &,+, [ -b2n2] for a, b > 0. As a corollary we obtain a transformation formula for P+rFp[l] which was discovered by Wimp in 1987 by using Bailey's method for the specialization &[l].

πŸ“œ SIMILAR VOLUMES

On the expansion of confluent hypergeome
On the expansion of confluent hypergeometric functions in terms of Bessel functions
✍ N.M. Temme πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 427 KB

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.