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arXiv · 1604.00480

Three-Term Relations for 3F2(1)

Akihito Ebisu·Katsunori Iwasaki
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Abstract

For the hypergeometric function of unit argument 3F2(1) we prove the existence and uniqueness of three-term relations with arbitrary integer shifts. We show that not only the original 3F2(1) function but also other five functions related to it satisfy one and the same three-term relation. This fact is referred to as simultaneousness. The uniqueness and simultaneousness provide three-term relations with a group symmetry of order 72.

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BibTeXRIS

Akihito Ebisu, Katsunori Iwasaki. 2016-04-02. Three-Term Relations for 3F2(1). https://arxiv.org/abs/1604.00480

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