Janowski symmetrical functions

Authors

  • O. Ahuja Kent State University, Ohio, USA
  • F. Alsarari Taibah University, Saudi Arabia
  • S. Latha Mysore University, India

Keywords:

Janowski functions, subordination, Rushceweyh derivative, (j; k)-symmetric points

Abstract

In this paper, we introduce and study a new class of analytic functions obtained by merging the notions of Ruscheweyh derivatives [1, 10], Janowski functions [5], and (j; k)-symmetrical functions [3, 7] defined in the open unit disk. In particular, we investigate coefficient estimates, a sufficient condition, convolution condition, and neighborhood results related to the functions in the class.

Author Biographies

O. Ahuja, Kent State University, Ohio, USA

Department of Mathematical Sciences, Ohio-44021

F. Alsarari, Taibah University, Saudi Arabia

Department of Mathematics, College of Sciences, Yanbu 

S. Latha, Mysore University, India

Department of Mathematics, Yuvaraja's College

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Published

2019-01-08

Issue

Vol. 11(60) No. 2 (2018)

Section

MATHEMATICS