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.
Solar structure in terms of Gauss' hypergeometric function
โ Scribed by H. J. Haubold; A. M. Mathai
- Publisher
- Springer Netherlands
- Year
- 1995
- Tongue
- English
- Weight
- 281 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0004-640X
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๐ SIMILAR VOLUMES
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.
&&e1 transforms have been widely used in solving boundary value problems poeed in cylindrical coordinates. A modified form of the Hankel transform and some of its propertiea are considered in connection with the problem of transport of a heavy pollutant (dust) from ground level aerial sources in a s