Geodesic
On a note on Ap\'ery-like series with an application
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 4, pp. 498-505

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The goal of this note is to use a hypergeometric series strategy to build many Apéry-like series. As an application, we obtain several results due to Sherman.
Keywords: Apéry-like series, factorials, hypergeometric function, summation formulas, Gauss summation theorem, contiguous results, combinatorial sums.
Mots-clés : binomial coefficients 
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Prathima Jayarama; Arjun Kumar Rathie. On a note on Ap\'ery-like series with an application. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 4, pp. 498-505. http://geodesic.mathdoc.fr/item/JSFU_2023_16_4_a7/