On a New Ma-Minda Class of Analytic Functions Created by a Roulette Curve Formula-Reference-Cited by-同舟云学术

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

Published:2023-10-13 Issue:10 Volume:15 Page:1913
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Aldawish Ibtisam¹^ORCID,Ibrahim Rabha W.²³⁴^ORCID

Affiliation:

1. Department of Mathematics and Statistics, College of Science, IMSIU (Imam Mohammad Ibn Saud Islamic University), Riyadh 11432, Saudi Arabia

2. Department of Mathematics, Mathematics Research Center, Near East University, Near East Boulevard, Mersin 10, 99138 Nicosia, Turkey

3. Department of Computer Science and Mathematics, Lebanese American University, Beirut P.O. Box 13-5053, Lebanon

4. Information and Communication Technology Research Group, Scientific Research Center, Al-Ayen University, Nasiriyah 64001, Iraq

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.

Funder

Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/10/1913/pdf

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