2021-02-23
Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters
Publication
Publication
Integral Transforms and Special Functions , Volume 33 - Issue 1 p. 16- 31
New asymptotic expansions are derived of the Kummer functions M(a, b, z) and U(a, b+1, z) for large positive values of a and b, with z fixed. For both functions we consider b/a <= 1 and b/a >= 1, with special attention for the case a ~ b. We use a uniform method to handle all cases of these parameters.
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| , , | |
| doi.org/10.1080/10652469.2021.1886094 | |
| Integral Transforms and Special Functions | |
| Organisation | Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands |
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Temme, N. (2021). Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters. Integral Transforms and Special Functions, 33(1), 16–31. doi:10.1080/10652469.2021.1886094 |
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