Some properties of a function originating from geometric probability for pairs of Hyperplanes intersecting with a convex body

被引：4

作者：

Qi F. ^{[1
,2
]}

Mahmoud M. ^{[3
]}

机构：

[1] Institute of Mathematics, Henan Polytechnic University, Jiaozuo

[2] College of Mathematics, Inner Mongolia University for Nationalities, Tongliao

[3] Department of Mathematics, Faculty of Science, Mansoura University, Mansoura

来源：

Mathematical and Computational Applications | 2016年 / 21卷 / 03期

关键词：

Asymptotic Formula; Complete Monotonicity; Gamma Function; Inequality; Integral Representation; Monotonicity;

D O I：

10.3390/mca21030027

中图分类号：

学科分类号：

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. © 2016 by the authors; licensee MDPI, Basel, Switzerland.

引用

共 15 条

[11]

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[12]

Copson E.T., Asymptotic Expansions, 55, (2004)

[13]

Olver F.W.J., Lozier D.W., Boisvert R.F., Clark C.W., NIST Handbook of Mathematical Functions, (2010)

[14]

Furman E., Zitikis R., A monotonicity property of the composition of regularized and inverted-regularized gamma functions with applications, J. Math. Anal. Appl, 348, pp. 971-976, (2008)

[15]

Furman E., Zitikis R., Monotonicity of ratios involving incomplete gamma functions with actuarial applications, J. Inequal. Pure Appl. Math, 9, pp. 1-6, (2008)

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