• On the series ∑k=1 (k3k)−1knxk

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/115/04/0371-0381

    • Keywords

       

      Inverse binomial series; hypergeometric series; polylogarithms; integral representations

    • Abstract

       

      In this paper we investigate the series ∑k=1 (k3k)−1knxk. Obtaining some integral representations of them, we evaluated the sum of them explicitly forn = 0, 1, 2.

    • Author Affiliations

       

      Necdet Batir1

      1. Department of Mathematics, Faculty of Arts and Sciences, Yüzüncü Yil University, Van - 65080, Turkey
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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