Quasi-Subordination on Pseudo and Bazilevic Bi-Univalent Functions Involving the Horadam Polynomials

Recently, special attention has been given to some polynomials such as the Horadam polynomial. The essential purpose of this paper is to obtain some important conditions for Bazilevic and pseudo functions using quasi subordination. We introduce a new subclass of biunivalent functions, including the Bazilevic and pseudo functions using Horadam polynomials. Upper bound for the first two coefficients in this subclass is investigated. Further, some corollaries and results that follow consequently from the theorems are presented.

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Published
2024-11-07
DOI
https://doi.org/10.1109/ismsit63511.2024.10757278
Primary Topic
Analytic and geometric function theory
Type
article
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article

Quasi-Subordination on Pseudo and Bazilevic Bi-Univalent Functions Involving the Horadam Polynomials

Mohammed H. Saloomi, Mohamed Al-Sultani, Roaa Hatem Talib, Sondekola Rudra Swamy
Analytic and geometric function theory
article

Quasi-Subordination on Pseudo and Bazilevic Bi-Univalent Functions Involving the Horadam Polynomials

Mohammed H. Saloomi, Mohamed Al-Sultani, Roaa Hatem Talib, Sondekola Rudra Swamy
article en

Abstract

Recently, special attention has been given to some polynomials such as the Horadam polynomial. The essential purpose of this paper is to obtain some important conditions for Bazilevic and pseudo functions using quasi subordination. We introduce a new subclass of biunivalent functions, including the Bazilevic and pseudo functions using Horadam polynomials. Upper bound for the first two coefficients in this subclass is investigated. Further, some corollaries and results that follow consequently from the theorems are presented.

University of Kerbala (IQ)
Openalex Percentile: Top 63%
Analytic and geometric function theory
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