Fekete–Szegö Problem and Second Hankel Determinant for a Class of Bi-Univalent Functions Involving Euler Polynomials-Reference-Cited by-同舟云学术

Fekete–Szegö Problem and Second Hankel Determinant for a Class of Bi-Univalent Functions Involving Euler Polynomials

Published:2023-03-29 Issue:4 Volume:7 Page:295
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Riaz Sadia¹^ORCID,Shaba Timilehin Gideon²^ORCID,Xin Qin³^ORCID,Tchier Fairouz⁴^ORCID,Khan Bilal⁵^ORCID,Malik Sarfraz Nawaz⁶^ORCID

Affiliation:

1. Department of Mathematics, National University of Modern Languages, Islamabad 44000, Pakistan

2. Department of Mathematics, Landmark University, Omu-Aran 251103, Nigeria

3. Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands, Denmark

4. Mathematics Department, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

5. School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, China

6. Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan

Abstract

Some well-known authors have extensively used orthogonal polynomials in the framework of geometric function theory. We are motivated by the previous research that has been conducted and, in this study, we solve the Fekete–Szegö problem as well as give bound estimates for the coefficients and an upper bound estimate for the second Hankel determinant for functions in the class GΣ(v,σ) of analytical and bi-univalent functions, implicating the Euler polynomials.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/4/295/pdf

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