On the expansion of confluent hypergeometric functions in terms of Bessel functions |
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| Authors: | N.M. Temme |
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| Affiliation: | 1. Dept. of Applied Mathematics, Stichting Mathematisch Centrum, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands |
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| Abstract: | For the confluent hypergeometric functions U (a, b, z) and M (a, b, z) asymptotic expansions are given for a → ∞. The expansions contain modified Bessel functions. For real values of the parameters rigorous error bounds are given. |
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