Abstract
With the help of Burchnall and Chaundy operator method the Decomposition for Hypergeometric G 1 ( α; β 1, β 2; x, y), G 2 ( α 1, α 2, β 1, β 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 ( α; β 1, β 2; x, y), G 2 ( α 1, α 2, β 1, β 2; x, y) functions.
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