Decomposition formulas for some triple hypergeometric functions

被引：17
作者：
Hasanov, Anvar
Srivastava, H. M.
Turaev, Mamasali
机构：
[1] Uzbek Acad Sci, Inst Math, Tashkent 700143, Uzbekistan
[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
[3] Tashkent Automobile Rd Construct Inst, Dept Tech & Nat Sci, Tashkent 700000, Uzbekistan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 324卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
decomposition formulas; Srivastava's triple hypergeometric functions; multiple hypergeometric functions; inverse pairs of symbolic operators; Gauss hypergeometric function; Appell's hypergeometric functions; Humbert's continent hypergeometric functions; generalized hypergeometric function; integral; representations;
D O I：
10.1016/j.jmaa.2006.01.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
With the help of some techniques based upon certain inverse pairs of symbolic operators, the authors investigate several decomposition formulas associated with Srivastava's hypergeometric functions H-A, H-B and H-C in three variables. Many operator identities involving these pairs of symbolic operators are first constructed for this purpose. By means of these operator identities, as many as 15 decomposition formulas are then found, which express the aforementioned triple hypergeometric functions in terms of such simpler functions as the products of the Gauss and Appell hypergeometric functions. Other closely-related results are also considered briefly. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：955 / 969
页数：15
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