Coefficient Bounds for Two Subclasses of Analytic Functions Involving a Limacon-Shaped Domain-Reference-Cited by-同舟云学术

Coefficient Bounds for Two Subclasses of Analytic Functions Involving a Limacon-Shaped Domain

Published:2024-02-03 Issue:2 Volume:16 Page:183
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Breaz Daniel¹,Panigrahi Trailokya²,El-Deeb Sheza M.³⁴^ORCID,Pattnayak Eureka²,Sivasubramanian Srikandan⁵

Affiliation:

1. Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania

2. Institute of Mathematics and Applications, Andharua, Bhubaneswar 751029, Odisha, India

3. Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University, Buraidah 52571, Saudi Arabia

4. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

5. Department of Sciences and Humanities, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamil Nadu, India

Abstract

In the current exploration, we defined new subclasses of analytic functions, namely Rlim(l,ν) and Clim(l,ν), defined by subordination linked with a Limacon-shaped domain. We found a few initial coefficient bounds and Fekete–Szegő inequalities for the functions in the above-stated new classes. The corresponding results have been derived for the function h−1. Additionally, we discuss the Poisson distribution as an application of our consequences.

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/2/183/pdf

Reference33 articles.

1. On the coefficients and Hankel determinants of univalent functions;Pommerenke;J. Lond. Math. Soc.,1966

2. On the Hankel determinant of univalent function;Pommerenke;Mathematika,1967

3. Hankel determinant problem for the class of functions with bounded boundary rotation;Noor;Rev. Roum. Math. Pures. Appl.,1983

4. Hankel determinant of order three for familiar subsets of analytic functions related with sine function;Arif;Open Math.,2019

5. Sharp bounds of the coefficient results for the family of bounded turning functions associated with a petal-shaped domain;Barukab;J. Funct. Spaces,2021

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. New Uses of q-Generalized Janowski Function in q-Bounded Turning Functions;Mathematics;2024-05-16