Communications of the
Korean Mathematical Society
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Commun. Korean Math. Soc. 2019; 34(4): 1163-1173
Online first article August 27, 2019 Printed October 31, 2019
https://doi.org/10.4134/CKMS.c180396
Copyright © The Korean Mathematical Society.
Convexity of integral operators generated by some new inequalities of hyper-Bessel functions
Muhey U. Din
Government Postgraduate Islamia College Faisalabad
In this article, we deduced some new inequalities related to hyper-Bessel function. By using these inequalities we will find some sufficient conditions under which certain families of integral operators are convex in the open unit disc. Some applications related to these results are also the part of our investigation.
Keywords: analytic functions, convex functions, integral operators, Bessel functions, hyper-Bessel functions
MSC numbers: Primary 30C45, 33C10; Secondary 30C20, 30C75
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