Coefficient Estimates for Two New Subclasses of Bi-univalent Functions Involving Laguerre Polynomials

In this paper, we introduce two new subclasses of regular and bi-univalent functions using Laguerre polynomials. Then, we define some upper limits for the Taylor Maclaurin coefficients. In addition, the Fekete-Szegö problem for the functions of the new subclasses. Finally, we provide some corollaries for certain values of parameters.

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Publication Details

Journal
Earthline Journal of Mathematical Sciences
Published
2024-12-30
DOI
https://doi.org/10.34198/ejms.15225.187199
Citations
2
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
2.02
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article

Coefficient Estimates for Two New Subclasses of Bi-univalent Functions Involving Laguerre Polynomials

Abbas Kareem Wanas, Elumalai Muthaiyan
2 citations
Earthline Journal of Mathematical Sciences
Analytic and geometric function theory
2.02
article

Coefficient Estimates for Two New Subclasses of Bi-univalent Functions Involving Laguerre Polynomials

Abbas Kareem Wanas, Elumalai Muthaiyan
article en
2 citations

Abstract

In this paper, we introduce two new subclasses of regular and bi-univalent functions using Laguerre polynomials. Then, we define some upper limits for the Taylor Maclaurin coefficients. In addition, the Fekete-Szegö problem for the functions of the new subclasses. Finally, we provide some corollaries for certain values of parameters.

Earthline Journal of Mathematical Sciences
St. Joseph's Institute of Technology (IN), University of Al-Qadisiyah (IQ)
Openalex Percentile: Top 12%
Analytic and geometric function theory
2.02
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