Applications of two summation theorems of Gosper for the ${}_5F_4$ hypergeometric series
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 1, pp. 142-148

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By means of two summation theorems of R. W. Gosper for a terminating ${}_5F_4$ 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.
Keywords: generalised hypergeometric function, bounded sequence, Gosper's summation theorems, Srivastava–Daoust double hypergeometric function.
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M. I. Qureshi; R. B. Paris; M. Kashif Khan. Applications of two summation theorems of Gosper for the ${}_5F_4$ hypergeometric series. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 1, pp. 142-148. http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a13/