Some Properties of a Function Originating from Geometric Probability for Pairs of Hyperplanes Intersecting with a Convex Body

Mathematical and Computational Applications

Qi, Feng¹ 

关键词: gamma function;    complete monotonicity;    inequality;    asymptotic formula;    integral representation;    monotonicity;   

DOI  :  10.3390/mca21030027

学科分类：计算数学

来源: mdpi

【 摘 要 】

In the paper, the authors derive an integral representation, present a double inequality, supply an asymptotic formula, find an inequality, and verify complete monotonicity of a function involving the gamma function and originating from geometric probability for pairs of hyperplanes intersecting with a convex body.

【 授权许可】

CC BY