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