WELL-POSED REDUCTION FORMULAS FOR THE q-KAMPE-DE-FERIET FUNCTION

被引：2

作者：

Chu, W. ^{[1
]}

Zhang, W. ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian, Peoples R China

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2011年 / 62卷 / 11期

关键词：

HYPERGEOMETRIC-SERIES; TRANSFORMATION;

D O I：

10.1007/s11253-011-0468-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the limiting case of Watson's q-Whipple transformation as n -> infinity, we investigate the transformations of the nonterminating q -Kampe-de-Feriet series. Further, new formulas for the transformations and well-posed reduction formulas are established for the basic Clausen hypergeometric series. Several remarkable formulas are also found for new function classes beyond the q-Kampe-de-Feriet function.

引用

页码：1783 / 1802

页数：20

共 48 条

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