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Further Equivalent Binomial Sums
Mei Bai1  ; Wenchang Chu2
1 School of Mathematics and Statistics, Zhoukou Normal University, Henan, China.
2 Department of Mathematics and Physics, University of Salento, 73100 Lecce, Italy.
Comptes Rendus. Mathématique, Volume 359 (2021) no. 4, pp. 421-425.

Five binomial sums are extended by a free parameter m, that are shown, through the generating function method, to have the same value. These sums generalize the ones by Ruehr (1980), who discovered them in the study of two unexpected equalities between definite integrals.

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DOI : 10.5802/crmath.184
Classification : 11B65, 05A10

Mei Bai 1 ; Wenchang Chu 2

1 School of Mathematics and Statistics, Zhoukou Normal University, Henan, China.
2 Department of Mathematics and Physics, University of Salento, 73100 Lecce, Italy.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Mei Bai; Wenchang Chu. Further Equivalent Binomial Sums. Comptes Rendus. Mathématique, Volume 359 (2021) no. 4, pp. 421-425. doi : 10.5802/crmath.184. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.184/

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