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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 14, Pages 2329-2336
doi:10.1155/IJMMS.2005.2329

Some interesting series arising from the power series expansion of (sin-1x)q

Habib Muzaffar

Department of Mathematics, The University of Toledo, 2801 W. Bancroft Street, MS-942, Toledo 43606-3390, OH, USA

Abstract

Starting from the power series expansions of (sin-1x)q, for 1≤p≤4, formulae are obtained for the sum of several infinite series. Some of these evaluations involve ζ(3).