ON SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING q-DERIVATIVE OPERATOR WITH NEGATIVE COEFFICIENTS
Keywords:
q-derivative operator, coefficient bounds, growth, distortion and closure theorems.
Abstract
The purpose of this work is to introduce and study new subclasses of analytic functions using a new q-derivative operator. This operator generalizes the operators introduced by Al-Oboudi, Catas, Cho and Kim, Cho and Srivastava, Maslina Darus and R W Ibrahim, Sˇalˇagean, Uralegaddi and Somanatha. We investigate coefficient bounds, growth, distortion and closure theorems for the functions belonging to these classes. We also give a result which unifies radii of close-toconvexity, starlikeness and convexity.
Published
2023-12-30
Section
Research Article
Copyright (c) 2023 South East Asian J. of Mathematics and Mathematical Sciences
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