Bounds for triple gamma functions and their ratios

DOI10.1186/s13660-016-1153-6zbMath1346.33003OpenAlexW2507636196WikidataQ59460743 ScholiaQ59460743MaRDI QIDQ313556

Sourav Das, Anbhu Swaminathan

Publication date: 12 September 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1153-6

zbMATH Keywords

gamma functionboundsmonotonicity propertiesmultiple gamma functionlogarithmically convex functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities involving other types of functions (26D07)

Related Items (2)

New asymptotic expansions and Padé approximants related to the triple gamma function ⋮ A complete monotonicity property of the multiple gamma function

Cites Work

• Inequalities associated with Barnes \(G\)-function
• Multiple gamma and related functions
• On some properties of the gamma function
• The multiple gamma function and its application to computation of series
• Some two-sided inequalities for multiple Gamma functions and related results
• Inequalities for the double gamma function
• Multiple Gamma Functions and Their Applications
• Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
• A Note on Gamma Functions
• Determinants of Laplacians and Multiple Gamma Functions
• Analytic Inequalities
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