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Tur\'an type inequalities for Tricomi confluent hypergeometric functions
- Source :
- Constructive Approximation 37(2) (2013) 195-221
- Publication Year :
- 2011
-
Abstract
- 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].<br />Comment: 20 pages
Details
- Database :
- arXiv
- Journal :
- Constructive Approximation 37(2) (2013) 195-221
- Publication Type :
- Report
- Accession number :
- edsarx.1110.4699
- Document Type :
- Working Paper