A function involving gamma function and having logarithmically absolute convexity

DOI10.1080/10652460701528875zbMath1131.26008OpenAlexW2012850368MaRDI QIDQ5438030

Bai-Ni Guo, Feng Qi, Shou-Xin Chen, Sen-Lin Guo

Publication date: 28 January 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: http://vuir.vu.edu.au/18270/1/alsina-tomas-sandor-continue.pdf

zbMATH Keywords

gamma functiongeneralizationlogarithmically completely monotonic functionlogarithmically absolutely monotonic functionlogarithmically absolutely convex function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Laplace transform (44A10) Numerical methods for integral transforms (65R10) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Other analytical inequalities (26D20)

Related Items (7)

Complete monotonicity of some functions involving polygamma functions ⋮ A class ofk-log-convex functions and their applications to some special functions ⋮ INEQUALITIES AND COMPLETE MONOTONICITY FOR THE GAMMA AND RELATED FUNCTIONS ⋮ A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS ⋮ Bounds for the ratio of two gamma functions ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions and the BarnesG-function ⋮ Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant

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