Hypergeometric functions and the trinomial equation

被引：10

作者：

Glasser, ML ^{[1
]}

机构：

[1] Clarkson Univ, Dept Phys, Potsdam, NY 13699 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2000年 / 118卷 / 1-2期

关键词：

algebraic equation; hypergeometric functions;

D O I：

10.1016/S0377-0427(00)00287-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that the roots of the trinomial equation x(n) - x + t = 0 are finite sums of generalized hypergeometric functions for each positive integer n. As a consequence, we demonstrate a class of algebraic identities satisfied by certain of these functions. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：169 / 173

页数：5

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