期刊
RAMANUJAN JOURNAL
卷 52, 期 3, 页码 641-668出版社
SPRINGER
DOI: 10.1007/s11139-019-00140-5
关键词
Harmonic numbers; Central binomial coefficient; Hypergeometric series; The Gauss summation theorem; The Gamma-function; Ramanujan-like series
类别
The Gauss summation theorem and an extended 3F2-series of Watson and Whipple type are examined by means of power series expansions. Numerous Ramanujanlike series involving harmonic numbers and squared central binomial coefficients are evaluated in closed forms. Several remarkable identities discovered by Campbell (Ramanujan J 46(2):373-387, 2018) are included as particular cases.
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