[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c180396

CONVEXITY OF INTEGRAL OPERATORS GENERATED BY SOME NEW INEQUALITIES OF HYPER-BESSEL FUNCTIONS

Din, Muhey U. (Department of Mathematics Government Postgraduate Islamia College Faisalabad)

Publication Information

Communications of the Korean Mathematical Society / v.34, no.4, 2019 , pp. 1163-1173 More about this Journal

Abstract

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;

Citations & Related Records

Reference

1	Baricz, Generalized Bessel Functions of the First Kind, Lecture Notes in Mathematics, 1994, Springer-Verlag, Berlin, 2010. https://doi.org/10.1007/978-3-642-12230-9 DOI
2	H. Chaggara and N. Ben Romdhane, On the zeros of the hyper-Bessel function, Integral Transforms Spec. Funct. 26 (2015), no. 2, 96-101. https://doi.org/10.1080/10652469.2014.973191 DOI
3	E. Deniz, H. Orhan, and H. M. Srivastava, Some sucient conditions for univalence of certain families of integral operators involving generalized Bessel functions, Taiwanese J. Math. 15 (2011), no. 2, 883-917. https://doi.org/10.11650/twjm/1500406240 DOI
4	M. U. Din, M. Raza, and E. Deniz, Sucient conditions for univalence of integral operators involving Dini Functions, (Submitted).
5	M. U. Din, H. M. Srivastava, and M. Raza, Univalence of certain integral operators involving generalized Struve functions, Hacet. J. Math. Stat. 47 (2018), no. 4, 821-833. DOI
6	G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England, 1944.