TY - JOUR
T1 - Some Summation Theorems for Truncated Clausen Series and Applications
AU - Qureshi , M. I.
AU - Jabee , Saima
AU - Ahamad , Dilshad
JO - Analysis in Theory and Applications
VL - 3
SP - 244
EP - 259
PY - 2023
DA - 2023/09
SN - 39
DO - http://doi.org/10.4208/ata.OA-2020-0036
UR - https://global-sci.org/intro/article_detail/ata/22000.html
KW - Watson summation theorem, Whipple summation theorem, Dixon summation theorem, Saalschütz summation theorem, Truncated series, Hypergeometric summation theorems, Mellin transforms.
AB - <p style="text-align: justify;">The main aim of this paper is to derive some new summation theorems
for terminating and truncated Clausen&#39;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&#39;s truncated hypergeometric function.</p>