Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2019; 34(3): 799-809

Online first article July 8, 2019      Printed July 31, 2019

https://doi.org/10.4134/CKMS.c180237

Copyright © The Korean Mathematical Society.

Extension of Huygens type inequalities for Bessel and modified Bessel Functions

Khaled Mehrez

Universit\'e de Kairouan

Abstract

In this note our aim is to extend the Huygens type inequalities to the Bessel and modified Bessel functions of the first kind. Our main motivation to write this note is a recent publication of Zhu, which we wish to complement.

Keywords: the Bessel functions, the modified Bessel functions, Huygens type inequalities

MSC numbers: 33C20, 33E20, 26D07, 26A42, 44A10

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