2021-02-23
Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters
Publication
Publication
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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| Organisation | Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands |
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Temme, N.M. (2021). Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters.
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