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arXiv · 1704.06981

Equations of hypergeometric type in the degenerate case

Jan Dereziński·Maciej Karczmarczyk
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Abstract

We consider the three most important equations of hypergeometric type, ${}_2F_1$, ${}_1F_1$ and ${}_1F_0$, in the so-called degenerate case. In this case one of the parameters, usually denoted $c$, is an integer and the standard basis of solutions consists of a hypergeometric-type function and a function with a logarithmic singularity. This article is devoted to a thorough analysis of the latter solution to all three equations.

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Jan Dereziński, Maciej Karczmarczyk. 2017-04-23. Equations of hypergeometric type in the degenerate case. https://arxiv.org/abs/1704.06981

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