Grünbaum-type inequalities for gamma and incomplete gamma functions

DOI10.1007/S00025-018-0913-7zbMath1404.33001OpenAlexW2899025658MaRDI QIDQ1635086

Man Kam Kwong, Horst Alzer

Publication date: 18 December 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0913-7

zbMATH Keywords

gamma functionEuler's constantincomplete gamma functionsGrünbaum-type inequalities

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Cites Work

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• Functional inequalities for the incomplete gamma function
• A new kind of inequality for Bessel functions
• Grünbaum's inequality for Bessel functions
• Inequalities for Euler's gamma function
• Grünbaum’s Inequality for Bessel Functions and Its Extensions
• 75.9 Euler’s Constant
• A functional inequality for the polygamma functions

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