首页|Some Summation Theorems for Truncated Clausen Series and Applications

Some Summation Theorems for Truncated Clausen Series and Applications

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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.

Watson summation theoremWhipple summation theoremDixon summation the-oremSaalschütz summation theoremTruncated seriesHypergeometric summation theoremsMellin transforms

M.I.Qureshi、Saima Jabee、Dilshad Ahamad

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Department of Applied Sciences and Humanities,Faculty of Engineering and Technology,Jamia Millia Islamia(A Central University),New Delhi 110025,India

2023

10.4208/ata.OA-2020-0036

分析、理论与应用(英文版)
南京大学

分析、理论与应用(英文版)

影响因子：0.111
ISSN：1672-4070
年,卷(期)：2023.39(3)
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