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On the series Σ∞k=1(3kk)-1k-n xk

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INDIAN ACADEMY SCIENCES
DOI: 10.1007/BF02829799

Keywords

inverse binomial series; hypergeometric series; polylogarithms; integral representations

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In 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.

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