๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A new expansion of the confluent hypergeometric function in terms of modified Bessel functions

โœ Scribed by Julio Abad; Javier Sesma

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
179 KB
Volume
78
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

An asymptotic expansion of the confluent hypergeometric function U(a,b,x) for large positive 2a-b is given in terms of modified Bessel functions multiplied by Buchholz polynomials, a family of double polynomials in the variables b and x with rational coefficients.

๐Ÿ“œ SIMILAR VOLUMES

On the expansion of confluent hypergeome
On the expansion of confluent hypergeometric functions in terms of Bessel functions
โœ N.M. Temme ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.

Some generalizations of the Hadamard exp
Some generalizations of the Hadamard expansion for the modified Bessel function
โœ S Yang; H.M Srivastava ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

A remarkable result (which is of considerable theoretical importance) is the celebrated Hadamard expansion for the modified Bessel function Iv(z) in a (convergent) series of the incomplete Gamma function -y(~, z). The main object of the present paper is to show how readily this Hadamard expansion ca