A few results on generalized Janowski type functions associated with (j, k)-symmetrical functions

Abstract

Abstract. The aim of the present article is to introduce and study new subclass of Janowski type functions defined using notions of Janowski functions and (j, k)-symmetrical functions. Certain interesting coefficient inequalities, sufficiency criteria, distortion theorem, neighborhood property are investigated for this class.

Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus

“…Inspired by the theory familiarized by Sakaguchi [17], and the study on analytic functions with respect to (j, k)-symmetrical points by various authors (see [18][19][20][21][22]), under this article, we formulate new subclasses listed in Definition 2.…”

“…(see[18], eorem 2) Let f ∈ S (j,k) (C, D) and Υ n be real, then for n ≥ 2,a n 􏼌 􏼌 􏼌 􏼌 􏼌 􏼌 􏼌 􏼌 ≤ 􏽙 n− 1 m�1 Λ m,j [(C − D) − 1] + m (m + 1) − Λ m+1,j . (61)…”

Applications of α , β -Symmetrical Functions on a Certain Class of Spirallike Functions

“…Recently, see [4][5][6] obtained many interesting results for various subclasses of Janowski-type functions by using the concept of ðα, βÞ-symmetrical functions.…”

Coefficient Inequalities of a Comprehensive Subclass of Analytic Functions With Respect to Symmetric Points

“…Extending the notion introduced by Sakaguchi in [36], several subclasses of analytic functions with respect to other points were introduced and studied by various authors (see [5,23,32,38,39,44]).…”