Inequalities for gamma and q-gamma functions of complex arguments

DOI10.1142/S0219530516500093zbMath1371.33004OpenAlexW2346944644MaRDI QIDQ5357454

Mourad E. H. Ismail

Publication date: 8 September 2017

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

Full work available at URL: https://doi.org/10.1142/s0219530516500093

zbMATH Keywords

gamma functionboundsinfinite divisibility\(q\)-gamma functioncomplete monotonicityLerch's inequality

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Gamma, beta and polygamma functions (33B15) (q)-gamma functions, (q)-beta functions and integrals (33D05) Inequalities in the complex plane (30A10)

Related Items (3)

Ratios of entire functions and generalized Stieltjes functions ⋮ An improved Spira's inequality for the Riemann zeta function and its derivatives in the critical strip ⋮ Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic

Cites Work

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• Some classes of completely monotonic functions. II
• Completely monotonic functions associated with the gamma function and its q-analogues
• General inequalities, consequences and applications
• On the Horizontal Monotonicity of |Γ(s)|
• Completely monotonic functions involving the gamma and $q$-gamma functions
• On Gamma Function Inequalities
• Geometric Properties of the Gamma Function
• Inequalities and monotonicity properties for gamma and q-gamma functions
• Inequalities involving gamma and digamma functions
• On some inequalities for the gamma and psi functions
• Bernstein functions. Theory and applications

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