Year: 2023
Author: M. I. Qureshi, Saima Jabee, Dilshad Ahamad
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 3 : pp. 244–259
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2020-0036
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 3 : pp. 244–259
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Watson summation theorem Whipple summation theorem Dixon summation theorem Saalschütz summation theorem Truncated series Hypergeometric summation theorems Mellin transforms.