Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
qr-code QR
Code

Article

HOME ALL ARTICLES View

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.

Monotonicity properties of the Bessel-Struve kernel

\'{A}rp\'{a}d Baricz, Saiful R. Mondal, and Anbhu Swaminathan

Babe\c{s}-Bolyai University, King Faisal University, Indian Institute of Technology Roorkee

Abstract

Go to

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

Article Tools

Stats or Metrics

Share this article on :

Related articles in BKMS

more +