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On a New Ma-Minda Class of Analytic Functions Created by a Roulette Curve Formula

Authors :
Ibtisam Aldawish
Rabha W. Ibrahim
Source :
Symmetry, Vol 15, Iss 10, p 1913 (2023)
Publication Year :
2023
Publisher :
MDPI AG, 2023.

Abstract

It is well known that there are two important classes of analytic functions of Ma-Minda type (MMT): Ma-Minda starlike and Ma-Minda convex functions. In this work, we suggest a new class of analytic functions, which is normalized in the open unit disk. The suggested class is generated by a roulette curve formula, which satisfies the symmetric behavior in the open unit disk. A roulette curve is shaped as the path outlined by the sum of two complex numbers, each affecting at a uniform rapidity in a circle. Special cases are illustrated involving special functions. Graphics of the curve are illustrated by using Mathematica 13.3.

Details

Language :
English
ISSN :
20738994
Volume :
15
Issue :
10
Database :
Directory of Open Access Journals
Journal :
Symmetry
Publication Type :
Academic Journal
Accession number :
edsdoj.3a8ae5c6d9d947a78e3c7a90c5d1d3c6
Document Type :
article
Full Text :
https://doi.org/10.3390/sym15101913