Inequalities for the double gamma function

DOI10.1016/j.jmaa.2008.09.077zbMath1157.33001OpenAlexW2027808334MaRDI QIDQ2518286

Necdet Batir

Publication date: 15 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.09.077

zbMATH Keywords

inequalitiesdouble gamma functionGamma functionpsi function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Elementary classical functions (33B99) Inequalities involving other types of functions (26D07)

Related Items (18)

The monotonicity and convexity of a function involving psi function with applications ⋮ Bounds for triple gamma functions and their ratios ⋮ Multiple Gamma Functions and Their Applications ⋮ Asymptotic expansions for Barnes \(G\)-function ⋮ GLAISHER-TYPE PRODUCTS OVER THE PRIMES ⋮ Asymptotic expansions and complete monotonicity properties for the Barnes \(G\)-function ⋮ Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants ⋮ Asymptotic formulas for the triple gamma function \(\varGamma _{3}\) by means of its integral representation ⋮ Inequalities involving the multiple psi function ⋮ A complete monotonicity property of the multiple gamma function ⋮ Asymptotic formulas for gamma function with applications ⋮ More asymptotic expansions for the Barnes \(G\)-function ⋮ Asymptotic expansions for certain mathematical constants and special functions ⋮ Inequalities associated with Barnes \(G\)-function ⋮ Some two-sided inequalities for multiple Gamma functions and related results ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions and the BarnesG-function ⋮ Unnamed Item ⋮ Some new properties of the Barnes G-function and related results

Cites Work

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• Series involving the zeta function and multiple Gamma functions
• Some mathematical constants
• Certain classes of series involving the zeta function
• Certain classes of series associated with the zeta function and multiple gamma functions
• New series involving the zeta function
• Zeta regularized products and functional determinants on spheres
• Multiple gamma and related functions
• The multiple gamma function and its application to computation of series
• Determinants of Laplacians and Multiple Gamma Functions
• An asymptotic expansion of the double gamma function

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