Asymptotic expansions of integral means and applications to the ratio of gamma functions

DOI10.1016/J.AMC.2014.02.026zbMath1334.30011arXiv1312.1500OpenAlexW1993897064MaRDI QIDQ272400

Lenka Vukšić, Neven Elezović

Publication date: 20 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1500

zbMATH Keywords

gamma functionasymptotic expansiondigamma functionintegral Meanwallis ratio

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (2)

Computation and analysis of the asymptotic expansions of the compound means ⋮ Asymptotic analysis of the iterative power means

Cites Work

• Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions
• New asymptotic expansions of the quotient of gamma functions
• Asymptotic formulae associated with the Wallis power function and digamma function
• Coefficient Identities for Powers of Taylor and Dirichlet Series
• Differential and integral f-means and applications to digamma function
• The best bounds in Gautschi's inequality
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