We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
On a New Ma-Minda Class of Analytic Functions Created by a Roulette Curve Formula.
- Authors
Aldawish, Ibtisam; Ibrahim, Rabha W.
- 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.
- Subjects
ANALYTIC functions; CONVEX functions; SPECIAL functions; COMPLEX numbers; STAR-like functions; UNIVALENT functions
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 10, p1913
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15101913