Batir, N2025-05-102025-05-1020050253-414210.1007/BF028297992-s2.0-29044447694https://doi.org/10.1007/BF02829799https://hdl.handle.net/20.500.14720/16289Batir, Necdet/0000-0003-0125-497XIn this paper we investigate the series Sigma(K=1)(infinity) ((3K)(K))(-1) k(-n) x(k). Obtaining some integral representations of them, we evaluated the sum of them explicitly for n = 0. 1, 2.eninfo:eu-repo/semantics/closedAccessInverse Binomial SeriesHypergeometric SeriesPolylogarithmsIntegral RepresentationsOn the Series Σ∞k=1(3k< XkArticle