Some Summation Theorems for Truncated Clausen Series and Applications  

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

机构地区：[1]Department of Applied Sciences and Humanities,Faculty of Engineering and Technology,Jamia Millia Islamia(A Central University),New Delhi 110025,India

出　　处：《Analysis in Theory and Applications》2023年第3期244-259,共16页分析理论与应用（英文刊）

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 integers.Further,using our truncated summation theorems,we obtain the Mellin transforms of the product of exponential function and Goursat’s truncated hypergeometric function.

关 键 词：Watson summation theorem Whipple summation theorem Dixon summation theorem Saalschütz summation theorem Truncated series Hypergeometric summation theorems Mellin transforms 

分 类 号：O174.14[理学—数学]