ON SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING $q$-DERIVATIVE OPERATOR WITH NEGATIVE COEFFICIENTS
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 91
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.4
Author :
N Shilpa (Department of Mathematics, JSS College of Arts Commerce and Science, Ooty Road, Mysuru - 570025, INDIA)
S Latha (Department of Mathematics, Yuvaraja s College, University of Mysore, Mysore - 570005, INDIA)
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, S$\check{a}$l$\check{a}$gean, 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-to-convexity, starlikeness and convexity.
Keywords and Phrases
$q$-derivative operator, coefficient bounds, growth, distortion and closure theorems.
A.M.S. subject classification
30C45.
.....
