Monotonicity of the incomplete gamma function with applications

DOI10.1186/s13660-016-1197-7zbMath1350.33004OpenAlexW2530575774WikidataQ59465921 ScholiaQ59465921MaRDI QIDQ330117

Zhen-Hang Yang, Yu-Ming Chu, Wen Zhang

Publication date: 24 October 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1197-7

zbMATH Keywords

gamma functionincomplete gamma functionpsi function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Inequalities involving other types of functions (26D07)

Related Items (7)

Monotonicity rules for the ratio of two Laplace transforms with applications ⋮ Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters ⋮ Monotonicity and inequalities involving the incomplete gamma function ⋮ Notes on the complete elliptic integral of the first kind ⋮ On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind ⋮ Monotonicity and inequalities involving zero-balanced hypergeometric function ⋮ New bounds for the function involving incomplete gamma function

Cites Work

• Unnamed Item
• Unnamed Item
• Inequalities and bounds for the incomplete gamma function
• Functional inequalities for the incomplete gamma function
• Some inequalities of the incomplete gamma and related functions
• Error bounds for the uniform asymptotic expansion of the incomplete gamma function
• An inequality for the product of two integrals relating to the incomplete gamma function
• Monotonicity criterion for the quotient of power series with applications
• Supplements to known monotonicity results and inequalities for the gamma and incomplete gamma functions
• On some inequalities for the incomplete gamma function
• Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
• Uniform bounds for the complementary incomplete Gamma function
• Inequalities for the Incomplete Gamma and Related Functions
• Monotonicity results and inequalities for the gamma and incomplete gamma functions
• Inequalities for the incomplete gamma function
• A System of Inequalities for the Incomplete Gamma Function and the Normal Integral
• Functional inequalities for incomplete gamma and related functions

This page was built for publication: Monotonicity of the incomplete gamma function with applications