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Asymptotic expansions of the solutions of a degenerate hypergeometric equation. (Russian) Zbl 0627.34010

The fundamental system of solutions of \(zw''+(b-z)w'-aw=0\) in the complex plane z are found in asymptotic form. The complex parameters a and b are assumed large in the neighbourhood of the regular singular point z.
Reviewer: G.Bojadziev

MSC:

34M99 Ordinary differential equations in the complex domain
34E05 Asymptotic expansions of solutions to ordinary differential equations
33B15 Gamma, beta and polygamma functions
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