Decomposition formulas for the double hypergeometric functions G<sub>1sub> and G<sub>2sub>
- 作者：Anvar Hasanov ; Mamasali Turaev
- 刊名：Applied Mathematics and Computation
- 出版年：2007
- 期刊代码：7_00963003
- 类别：cp
- 出版时间：1 April 2007
- 卷：187
- 期：1
- 页码：195-201
- 文件大小：151 K
摘要
With the help of Burchnall and Chaundy operator method the Decomposition for Hypergeometric G<sub>1sub> (α; β<sub>1sub>, β<sub>2sub>; x, y), G<sub>2sub> (α<sub>1sub>, α<sub>2sub>, β<sub>1sub>, β<sub>2sub>; 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<sub>1sub> (α; β<sub>1sub>, β<sub>2sub>; x, y), G<sub>2sub> (α<sub>1sub>, α<sub>2sub>, β<sub>1sub>, β<sub>2sub>; x, y) functions.