Nadia N. Li, Wenchang Chu: Infinite series containing central binomial coefficients, 363-372

Abstract:

Two classes of infinite series involving central binomial coefficients are evaluated in closed forms, including a solution to the problem proposed recently by Ribeiro (2018).

Key Words: Infinite series, binomial coefficient, the $\Gamma$-function, generating function, partial fraction decomposition.

2020 Mathematics Subject Classification: Primary 05A19; Secondary 05A10.

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