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arXiv · 1906.02878

Explicit logarithmic formulas of special values of hypergeometric functions 3F2

Masanori Asakura·Toshifumi Yabu
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Abstract

In a joint paper [4] by Otsubo, Terasoma and the first author, we proved that the special value 3F2(a,b,q;a+b,q;1) of the generalized hypergeometric function is a linear combination of log of algebraic numbers if the triplet (a,b,q) of rational numbers satisfies a certain numerical condition. However there remains a question how to obtain explicit descriptions of the values. In this paper, we give a method to do this, which is a further development of the technique in [4].

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BibTeXRIS

Masanori Asakura, Toshifumi Yabu. 2019-06-07. Explicit logarithmic formulas of special values of hypergeometric functions 3F2. https://doi.org/10.1142/s0219199719500408

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