Some Summation Theorems for Truncated Clausen Series and Applications

作     者：M.I.Qureshi Saima Jabee Dilshad Ahamad M.I.Qureshi;Saima Jabee;Dilshad Ahamad

作者机构：Department of Applied Sciences and HumanitiesFaculty of Engineering and TechnologyJamia Millia Islamia(A Central University)New Delhi 110025India 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2023年第39卷第3期

页      面：244-259页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Watson summation theorem Whipple summation theorem Dixon summation theorem Saalschütz summation theorem Truncated series Hypergeometric summation theorems Mellin transforms 

摘      要：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 ***,using our truncated summation theorems,we obtain the Mellin transforms of the product of exponential function and Goursat’s truncated hypergeometric function.