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.
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页码：1783 / 1802
页数：20
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