Bull. Korean Math. Soc. 2016; 53(6): 1845-1856
Online first article September 13, 2016 Printed November 30, 2016
https://doi.org/10.4134/BKMS.b151021
Copyright © The Korean Mathematical Society.
\'{A}rp\'{a}d Baricz, Saiful R. Mondal, and Anbhu Swaminathan
Babe\c{s}-Bolyai University, King Faisal University, Indian Institute of Technology Roorkee
In this paper our aim is to study the classical Bessel-Struve kernel. Monotonicity and log-convexity properties for the Bessel-Struve kernel, and the ratio of the Bessel-Struve kernel and the Kummer confluent hypergeometric function are investigated. Moreover, lower and upper bounds are given for the Bessel-Struve kernel in terms of the exponential function and some Tur\'an type inequalities are deduced.
Keywords: modified Bessel and Struve functions of the first kind, Bessel-Struve kernel, confluent hypergeometric function, inequalities, bounds, Tur\'an type inequalities, monotonicity, log-convexity
MSC numbers: 33C10, 26D15
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