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A Hypergoemetric Transformation for Gauss Function 2F1[a,b ; 1+a+b−2m 2 ; 1+z 2 ] and its Applications in Clausen Function |
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PP: 7-11 |
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doi:10.18576/msl/070102
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Author(s) |
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M. I. Qureshi,
M. S. Baboo,
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Abstract |
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| The object of this paper is to obtain a hypergeometric transformation for Gauss function 2F1[a,b ; 1+a+b−2m 2 ; 1+z 2 ] using a summation theorem of Fox. Some special cases of the hypergeometric transformation and summation theorems for Clausen hypergeometric function 3F2[a,b, 2a+2b+3 4 ;1+a−b±m, 2a+2b−1 4 ;−1] with suitable convergence conditions, are also discussed.
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