Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (1)
- Authors
- Qureshi, M. I.; Paris, R. B.; Kashif Khan, M.
- Contact information
- Qureshi, M. I.: Department of Applied Sciences and Humanities Faculty of Engineering and Technology Jamia Millia Islamia (A Central University) New Delhi-110025, India; OCRID: 0000-0002-5093-1925; Paris, R. B.: Division of Computing and Mathematics Abertay University Dundee DD1 1HG, UK; OCRID: 0000-0001-7868-0278; Kashif Khan, M.: Department of Mathematics and Statistics Faculty of Science Integral University Lucknow-226026 (U.P.), India; OCRID: 0000-0001-6013-8026
- Keywords
- generalised hypergeometric function; bounded sequence; Gosper’s summation theorems; Srivastava–Daoust double hypergeometric function
- Abstract
By means of two summation theorems of R. W. Gosper for a terminating ₅F₄ hypergeometric series of arguments 1/4 and 4, we derive two general double-series identities involving a bounded sequence of arbitrary complex numbers. These series are then applied to obtain two reduction formulas for the Srivastava–Daoust double hypergeometric function
- Pages
- 142–148
- EDN
- TXBEZL
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/149771
Journal of Siberian Federal University. Mathematics & Physics / Applications of Two Summation Theorems of Gosper for the ₅F₄ Hypergeometric Series
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