Turán type inequalities for Tricomi confluent hypergeometric functions

Details Turán type inequalities for Tricomi confluent hypergeometric functions Turán type inequalities for Tricomi confluent hypergeometric functions

2011-10-21

arxiv.org/abs/1110.4699v2

Mathematics

Classical Analysis and ODEs

20 pages

Scientific paper

Some sharp two-sided Tur\'an type inequalities for parabolic cylinder functions and Tricomi confluent hypergeometric functions are deduced. The proofs are based on integral representations for quotients of parabolic cylinder functions and Tricomi confluent hypergeometric functions, which arise in the study of the infinite divisibility of the Fisher-Snedecor F distribution. Moroever, some complete monotonicity results are given concerning Tur\'an determinants of Tricomi confluent hypergeometric functions. These complement and improve some of the results of Ismail and Laforgia [23].

Affiliated with

Also associated with

No associations

Rating

Turán type inequalities for Tricomi confluent hypergeometric 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 Turán type inequalities for Tricomi confluent hypergeometric functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Turán type inequalities for Tricomi confluent hypergeometric functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-84827