Title
Turan Type Inequalities for Tricomi Confluent Hypergeometric Functions
Abbreviated Journal Title
Constr. Approx.
Keywords
Parabolic cylinder functions; Tricomi confluent hypergeometric; functions; Kummer confluent hypergeometric functions; Whittaker; functions; Modified Bessel functions; Turan type inequalities; Turan; determinants; Logarithmically convex functions; Complete monotonicity; Absolute monotonicity; MODIFIED BESSEL-FUNCTIONS; DENSITY-FUNCTION; MILLS RATIO; MONOTONICITY; DETERMINANTS; PRODUCT; BOUNDS; Mathematics
Abstract
Some sharp two-sided Turan 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. Moreover, some complete monotonicity results are given concerning Turan determinants of Tricomi confluent hypergeometric functions. These complement and improve some of the results of Ismail and Laforgia (in Constr. Approx. 26:1-9, 2007).
Journal Title
Constructive Approximation
Volume
37
Issue/Number
2
Publication Date
1-1-2013
Document Type
Article
Language
English
First Page
195
Last Page
221
WOS Identifier
ISSN
0176-4276
Recommended Citation
"Turan Type Inequalities for Tricomi Confluent Hypergeometric Functions" (2013). Faculty Bibliography 2010s. 3660.
https://stars.library.ucf.edu/facultybib2010/3660
Comments
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