Turan Type Inequalities for Tricomi Confluent Hypergeometric Functions
Abbreviated Journal Title
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
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).
"Turan Type Inequalities for Tricomi Confluent Hypergeometric Functions" (2013). Faculty Bibliography 2010s. 3660.