Evaluation of Binomial Series with Harmonic Numbers

中文关键词:  digamma function  Lerch transcendent  binomial coefficient  central binomial coefficient  harmonic number  stirling number of the first kind

英文关键词:digamma function  Lerch transcendent  binomial coefficient  central binomial coefficient  harmonic number  stirling number of the first kind

中文摘要:

      We define a special function related to the digamma function and use it to evaluate in closed form various series involving binomial coefficients and harmonic numbers.

英文摘要:

      We define a special function related to the digamma function and use it to evaluate in closed form various series involving binomial coefficients and harmonic numbers.