We present three formulas for summation in closed form (or certain transformation) of series constructed with binomial expressions. Examples and application are provided, involving the Hurwitz zeta function, the dilogarithm, and the digamma function.
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Zhoukou Normal Univ, Sch Math & Stat, Henan, Peoples R China
Univ Salento, Dept Math & Phys, I-73100 Lecce, ItalyZhoukou Normal Univ, Sch Math & Stat, Henan, Peoples R China
Chu, Wenchang
Guo, Dongwei
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Zhoukou Normal Univ, Sch Math & Stat, Henan, Peoples R ChinaZhoukou Normal Univ, Sch Math & Stat, Henan, Peoples R China