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Class of Analytic Univalent Functions with Fixed Finite Negative Coefficients Defined by q-Analogue Difference Operator

Z. M. Saleh (1) and A. O. Mostafa (2)

(1) Department of Mathematics, Faculty of Science, Mansoura University, Egypt

Email address: zeinabnsar2@gmail.com

 

(2) Department of Mathematics, Faculty of Science, Mansoura University, Egypt

Email address: adelaeg254@yahoo.com

Doi : https://doi.org/10.47013/15.4.11

Cited by : Jordan J. Math & Stat., 15 (4A) (2022), 955 - 965

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Received on: July 3, 2021;                                             Accepted on: Dec. 19, 2021

 Abstract. In this paper using a q−analogue operator, we define class of univalent functions with fixed finite negative coefficients and determine coefficient estimates and other properties for this class. Various results obtained in this paper are shown to be sharp.

Keywords: Analytic function, univalent functions, starlike and convex functions, q-analogue operator, coefficient estimates, extreme points, radius of convexity, closure theorems.