On subclasses of analytic functions involving q-derivative operator with negative coefficieents

Shilpa, N. and Latha, S. (2023) On subclasses of analytic functions involving q-derivative operator with negative coefficieents. South East Asian Journal of Mathematics and Mathematical Sciences, 19 (3). 37 - 48. ISSN 09727752

Text (Full Text) ON SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING q-DERIVATIVE OPERATOR WITH NEGATIVE COEFFICIENTS.pdf - Published Version Download (172kB)

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, Sǎlǎgean, 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. © 2024, RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES. All rights reserved.

Item Type:	Article
Additional Information:	Cited by: 0
Subjects:	E Mathematical Science > Mathematics
Divisions:	Yuvaraj college > Mathematics
Depositing User:	Mr Umendra uom
Date Deposited:	29 Nov 2025 10:05
Last Modified:	29 Nov 2025 10:05
URI:	http://eprints.uni-mysore.ac.in/id/eprint/18099

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