Inclusion relations for Bessel functions for domains bounded by conical domains

Advances in Difference Equations

Srinivasan Annamalai¹  Chellakutti Ramachandran²  Srikandan Sivasubramanian³ 

[1] Department of Economics and Statistics, Office of the Assistant Director of Statistics, Villupuram, India;Department of Mathematics, University College of Engineering Villupuram, Anna University, Villupuram, India;Department of Mathematics, University College of Engineering, Anna University, Tindivanam, India

关键词: analytic function;    univalent function;    starlike function;    convex function;    subordination;    k-starlike functions;    k-uniformly convex functions;    quasi-convex functions;    Bessel function;   

DOI  :  10.1186/1687-1847-2014-288

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In recent times, applications of Bessel differential equations have been effectively used in the theory of univalent functions. In this paper we study some subclasses of k-starlike functions, k-uniformly convex functions, and quasi-convex functions involving the Bessel function and derive their inclusion relationships. Further, certain integral preserving properties are also established with these classes. We remark here that k-starlike functions and k-uniformly convex functions are related to domains bounded by conical sections. MSC:30C45, 30C50.

【 授权许可】

CC BY