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Keywords = roulette curve

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14 pages, 889 KiB  
Article
On a New Ma-Minda Class of Analytic Functions Created by a Roulette Curve Formula
by Ibtisam Aldawish and Rabha W. Ibrahim
Symmetry 2023, 15(10), 1913; https://doi.org/10.3390/sym15101913 - 13 Oct 2023
Viewed by 1506
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 [...] Read more.
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. Full article
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