Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 5, Issue 1


Published
on

March 31, 2020


Pages

303-308


DOI

Article

Properties of a New Subclass of Analytic Functions With Negative Coefficients Defined by Using the Q-Derivative


Authors

Roberta Bucur Affiliation:
Department of Mathematics, University of Pitesti, Pitesti, Romania
and Daniel Breaz Affiliation:
Department of Mathematics, “A. I. Cuza” Police Academy, Bucuresti, Romania


Abstract

In this paper we define a new class of analytic functions with negative coefficients involving the q-differential operator. Our main purpose is to determine coefficient inequalities and distortion theorems for functions belonging to this class. Connections with previous results are pointed out.


Keywords

analytic functions, Janowski functions, negative coefficients, q-calculus, q-differential operator, 30C45


Citation

Bucur, R. & Breaz, D. (2020). Properties of a new subclass of analytic functions with negative coefficients defined by using the q-derivative. Applied Mathematics and Nonlinear Sciences, 5(1), 303–308. https://doi.org/10.2478/amns.2020.1.00028

Published by: Engineering Journals

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