Bounds for the ratio of two gamma functions--From Gautschi's and Kershaw's inequalities to completely monotonic functions

Details Bounds for the ratio of two gamma functions--From Gautschi's and Kershaw's inequalities to completely monotonic functions Bounds for the ratio of two gamma functions--From Gautschi's and Kershaw's inequalities to completely monotonic functions

2009-04-07

arxiv.org/abs/0904.1049v1

Mathematics

Classical Analysis and ODEs

19 pages

Scientific paper

In this expository and survey paper, along one of main lines of bounding the ratio of two gamma functions, we look back and analyse some inequalities, the complete monotonicity of several functions involving ratios of two gamma or $q$-gamma functions, the logarithmically complete monotonicity of a function involving the ratio of two gamma functions, some new bounds for the ratio of two gamma functions and divided differences of polygamma functions, and related monotonicity results.

Affiliated with

Also associated with

No associations

Rating

Bounds for the ratio of two gamma functions--From Gautschi's and Kershaw's inequalities to completely monotonic functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bounds for the ratio of two gamma functions--From Gautschi's and Kershaw's inequalities to completely monotonic functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bounds for the ratio of two gamma functions--From Gautschi's and Kershaw's inequalities to completely monotonic functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-313679