Bounds for the product of modified Bessel functions

Authors

Árpád Baricz, Obuda University
Dragana Jankov Maširević, Sveučilište Josipa Jurja Strossmayera u Osijeku
Saminathan Ponnusamy, Indian Statistical Institute Chennai
Sanjeev Singh, Indian Institute of Technology Madras

Article Type

Research Article

Publication Title

Aequationes Mathematicae

Abstract

In this note our aim is to present some monotonicity properties of the product of modified Bessel functions of the first and second kind. Certain bounds for the product of modified Bessel functions of the first and second kind are also obtained. These bounds improve and extend known bounds for the product of modified Bessel functions of the first and second kind of order zero. A new Turán type inequality is also given for the product of modified Bessel functions, and some open problems are stated, which may be of interest for further research.

First Page

859

Last Page

870

DOI

10.1007/s00010-016-0414-2

Publication Date

8-1-2016

Comments

Open Access; Green Open Access

Recommended Citation

Baricz, Árpád; Maširević, Dragana Jankov; Ponnusamy, Saminathan; and Singh, Sanjeev, "Bounds for the product of modified Bessel functions" (2016). Journal Articles. 4122.
https://digitalcommons.isical.ac.in/journal-articles/4122