Korean J. Math. Vol. 25 No. 3 (2017) pp.389-403
DOI: https://doi.org/10.11568/kjm.2017.25.3.389

A few results on Janowski functions associated with $k$-symmetric points

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Published: Sep 30, 2017
Keywords:
Janowski functions, Subordination, Starlike functions, Convex functions, k-Symmetric points
Mathematics Subject Classification:
30C45

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Fuad S Al Sarari
Department of Mathematics College of Sciences Taibah University
Sridhar Latha
Department of Mathematics Yuvaraja’s College University of Mysore
Maslina Darus
School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia

Abstract

The purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with respect to $k$-symmetric points. We also study certain interesting properties like covering theorem, convolution condition, neighborhood results and argument theorem.



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Supporting Agencies

Universiti Kebangsaan Malaysia

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