Certain Class of Close-to-Convex Univalent Functions-Reference-Cited by-同舟云学术

Certain Class of Close-to-Convex Univalent Functions

Published:2023-09-19 Issue:9 Volume:15 Page:1789
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Alhily Shatha S.¹^ORCID,Lupas Alina Alb²^ORCID

Affiliation:

1. Department of Mathematics, College of Science, Mustansiriyah University, Baghdad 10011, Iraq

2. Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania

Abstract

The purpose of this paper was to define a new class of close-to-convex function, denoted by CV(δ,α), which is a subclass of all functions that are univalent in D and have positive coefficients normalized by the conditions f(0)=0, f′(0)=1, if it satisfies such a condition that is dependent on positive real part. Furthermore, we proved how the power series distribution is essential for determining the sufficient and necessary condition on any function f in class CV(δ,α).

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2073-8994/15/9/1789/pdf

Reference38 articles.

1. The Coefficients of Close-to-Convex Functions;Reade;Duke Math. J.,1956

2. Close-to-Convex Schlicht Functions;Kaplan;Mich. Math. J.,1952

3. Coefficient Bounds for Some Families of Starlike and Convex Functions of Complex Order;Irmak;Appl. Math. Lett.,2007

4. Close-to-Convexity, Starlikeness, and Convexity of Certain Analytic Functions;Owa;Appl. Math. Lett.,2002

5. On a Subclass of Close-to-Convex Functions;Kowalczyk;Appl. Math. Lett.,2010

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some Classes of Bazilevič-Type Close-to-Convex Functions Involving a New Derivative Operator;Symmetry;2024-07-03