On the Increasing Monotonicity of a Sequence Originating from Computation of the Probability of Intersecting between a Plane Couple and a Convex Body

BAI-NI GUO^1, and FENG QI^{2, 3}

¹School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, China

²College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China

³Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, China

Cite this paper:
BAI-NI GUO and FENG QI. On the Increasing Monotonicity of a Sequence Originating from Computation of the Probability of Intersecting between a Plane Couple and a Convex Body. Turkish Journal of Analysis and Number Theory. 2015; 3(1):21-23. doi: 10.12691/tjant-3-1-5

Abstract

In the paper, the authors confirm the increasing monotonicity of a sequence which originates from the discussion on the probability of intersecting between a plane couple and a convex body.

Keywords:
increasing monotonicity sequence gamma function ratio of two gamma functions inequality logarithmically completely monotonic function probability of intersecting between a plane couple and a convex body

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