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Series and ɛ-expansion of the hypergeometric functions

✍ Scribed by M.Yu. Kalmykov

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
165 KB
Volume
135
Category
Article
ISSN
0920-5632

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📜 SIMILAR VOLUMES

On the expansion of confluent hypergeome
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✍ N.M. Temme 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 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.

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In this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J. Johnston, An integral representation of some hypergeometric functions, Electron. Trans. Numer. Anal. 25 (2006) 115-120] and examine some special cases which correspond to a transformation given by Chaundy in