Decomposition formulas for the double hypergeometric functions G1 and G2

被引：8
|
作者：
Hasanov, Anvar
Turaev, Mamasali
机构：
[1] Uzbek Acad Sci, Inst Math, Tashkent 100125, Uzbekistan
[2] Tashkent Automobile Rd Construct Inst, Tech & Nat Sci Dept, Tashkent 700000, Uzbekistan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 187卷 / 01期
关键词：
Appell functions; Horn functions; inverse pairs of symbolic operators; double hypergeometric function; and integral representations;
D O I：
10.1016/j.amc.2006.08.115
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
With the help of Burchnall and Chaundy operator method the Decomposition for Hypergeometric G(1) (a; beta(1), beta(2); x, y), G(2) (a(1), a(2), beta(1) beta(2); x,y) functions have been found. The obtained Decomposition consists of Hypergeometric of Appell's functions. Further, the found decomposition is used for determination of Integral Representation such as Euler type of Hypergeometric G(1) (a; beta(1), beta(2); x,y), G(2) (a(1), a(2), beta(1), beta(2); x, y) functions. (C) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：195 / 201
页数：7
相关论文
共 50 条
12345