New asymptotic expansions of the quotient of gamma functions. Buric, T. & Elezovic, N. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 23(5):355–368, TAYLOR & FRANCIS LTD, 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND, 2012.
doi  abstract   bibtex   
Asymptotic expansions of the function \[\Gamma(x + t)/Gamma(x + s)](1/(t-s)) involving exponential function are given and analysed. An efficient algorithm for calculating coefficients of these expansions is obtained. An application to the asymptotic expansion of the central binomial coefficient is given.
@article{WOS:000303109000005,
abstract = {Asymptotic expansions of the function \{[\}Gamma(x + t)/Gamma(x +
s)](1/(t-s)) involving exponential function are given and analysed. An
efficient algorithm for calculating coefficients of these expansions is
obtained. An application to the asymptotic expansion of the central
binomial coefficient is given.},
address = {4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND},
author = {Buric, Tomislav and Elezovic, Neven},
doi = {10.1080/10652469.2011.591393},
issn = {1065-2469},
journal = {INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS},
keywords = {gamma function; Bernoulli polynomials; Stirling fo},
number = {5},
pages = {355--368},
publisher = {TAYLOR \& FRANCIS LTD},
title = {{New asymptotic expansions of the quotient of gamma functions}},
type = {Article},
volume = {23},
year = {2012}
}

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