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
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 },
year = {2016},
volume = {_N_S_99},
number = {113},
doi = {10.2298/PIM150430027L},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM150430027L/}
}
TY - JOUR AU - Martin Lukarevski TI - A Note on Gautschi's Inequality and Application to Wallis' and Stirling's Formula JO - Publications de l'Institut Mathématique PY - 2016 SP - 121 VL - _N_S_99 IS - 113 UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM150430027L/ DO - 10.2298/PIM150430027L LA - en ID - 10_2298_PIM150430027L ER -
%0 Journal Article %A Martin Lukarevski %T A Note on Gautschi's Inequality and Application to Wallis' and Stirling's Formula %J Publications de l'Institut Mathématique %D 2016 %P 121 %V _N_S_99 %N 113 %U http://geodesic.mathdoc.fr/articles/10.2298/PIM150430027L/ %R 10.2298/PIM150430027L %G en %F 10_2298_PIM150430027L
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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