On the series $\pmb{\sum_{k = 1}^\infty \binom{3k}{k}^{-1}k^{-n} x^k}$

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dc.creatorBatir, Necdet
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:55:13Z
dc.date.available2026-07-07T06:55:13Z
dc.descriptionIn this paper we investigate the series $\sum_{k = 1}^\infty \binom{3k}{k}^{-1}k^{-n}x^k$. Obtaining some integral representations of them, we evaluated the sum of them explicitly for $n = 0, 1, 2$.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0512310
dc.identifierhttp://arxiv.org/abs/math/0512310
dc.identifierProc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 371-381
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106215
dc.subjectCommutative Algebra
dc.subject33B30; 05A10; 11B65
dc.titleOn the series $\pmb{\sum_{k = 1}^\infty \binom{3k}{k}^{-1}k^{-n} x^k}$
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