Open AccessA note on Gautschi's inequality and application to Wallis' and Stirling's formula
Author(s) -
Martin Lukarevski
Publication year - 2015
Publication title -
publications de l institut mathematique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim150430027l
Subject(s) - stirling engine , mathematics , inequality , mathematical proof , product (mathematics) , stirling numbers of the second kind , gamma function , algebra over a field , calculus (dental) , pure mathematics , mathematical analysis , physics , geometry , thermodynamics , medicine , dentistry
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.
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