A Note on Gautschi's Inequality and Application to Wallis' and Stirling's Formula
Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 121
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
Classification :
41A60
Keywords: Gautschi's inequality, Gamma function, Stirling's approximation, Wallis' product
Keywords: Gautschi's inequality, Gamma function, Stirling's approximation, Wallis' product
@article{10_2298_PIM150430027L,
author = {Martin Lukarevski},
title = {A {Note} on {Gautschi's} {Inequality} and {Application} to {Wallis'} and {Stirling's} {Formula}},
journal = {Publications de l'Institut Math\'ematique},
pages = {121 },
publisher = {mathdoc},
volume = {_N_S_99},
number = {113},
year = {2016},
doi = {10.2298/PIM150430027L},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM150430027L/}
}
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Martin Lukarevski. A Note on Gautschi's Inequality and Application to Wallis' and Stirling's Formula. Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 121 . doi: 10.2298/PIM150430027L
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