Three-term relations for 3F2(1)

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:463

Article

Ebisu, Akihito¹  Iwasaki, Katsunori² 

[1] Chiba Inst Technol, Fac Informat & Comp Sci, 2-1-1 Shibazono, Narashino, Chiba 2750023, Japan

[2] Hokkaido Univ, Dept Math, Kita Ku, Kita 10,Nishi 8, Sapporo, Hokkaido 0600810, Japan

关键词: Hypergeometric series F-3(2)(1);    Three-term contiguous relation;    Linear independence;    Existence and uniqueness;    Simultaneousness;    Symmetry;   

DOI  :  10.1016/j.jmaa.2018.03.034

来源: Elsevier

【 摘 要 】

For the hypergeometric function of unit argument F-3(2)(1) we prove the existence and uniqueness of three-term contiguous 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 together with the uniqueness mentioned above provides three-term relations with a group symmetry of order 72. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free