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Some Summation Theorems for Truncated Clausen Series and Applications
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作者 M.I.Qureshi Saima Jabee Dilshad Ahamad 《Analysis in Theory and Applications》 CSCD 2023年第3期244-259,共16页
The main aim of this paper is to derive some new summation theorems for terminating and truncated Clausen’s hypergeometric series with unit argument,when one numerator parameter and one denominator parameter are nega... The main aim of this paper is to derive some new summation theorems for terminating and truncated Clausen’s hypergeometric series with unit argument,when one numerator parameter and one denominator parameter are negative integers.Further,using our truncated summation theorems,we obtain the Mellin transforms of the product of exponential function and Goursat’s truncated hypergeometric function. 展开更多
关键词 Watson summation theorem Whipple summation theorem Dixon summation theorem saalschütz summation theorem Truncated series Hypergeometric summation theorems Mellin transforms
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