Three-term relations for 3F2(1)

被引：7
|
作者：
Ebisu, Akihito [1 ]
Iwasaki, Katsunori [2 ]
机构：
[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
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 463卷 / 02期
关键词：
Hypergeometric series F-3(2)(1); Three-term contiguous relation; Linear independence; Existence and uniqueness; Simultaneousness; Symmetry;
D O I：
10.1016/j.jmaa.2018.03.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：593 / 610
页数：18
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