eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2015-02-09 3 1 21 23 10.12691/tjant-3-1-5 TJANT2015315 article 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 bai.ni.guo@gmail.com, bai.ni.guo@hotmail.com 1 FENG QI 2 3 School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, China College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China In the paper, the authors confirm the increasing monotonicity of a sequence which originates from computation of the probability of intersecting between a plane couple and a convex body. http://pubs.sciepub.com/tjant/3/1/5/tjant-3-1-5.pdf 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