EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 99(113), pp. 121–124 (2016)

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A NOTE ON GAUTSCHI'S INEQUALITY AND APPLICATION TO WALLIS' AND STIRLING'S FORMULA

Martin Lukarevski

Department of Mathematics and Statistics, University "Goce Delcev", Stip, Macedonia

Abstract: We present novel elementary proofs of Stirling's approximation formula and Wallis' product formula, both based on a Gautschi's inequality for the Gamma function.

Keywords: Gautschi's inequality; Gamma function; Stirling's approximation; Wallis' product

Classification (MSC2000): 41A60

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Electronic fulltext finalized on: 12 Apr 2016. This page was last modified: 20 Apr 2016.

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