Applications of Borel Distribution for a New Family of Bi-Univalent Functions Defined by Horadam Polynomials-Reference-Cited by-同舟云学术

Applications of Borel Distribution for a New Family of Bi-Univalent Functions Defined by Horadam Polynomials

Published:2021-12-01 Issue: Volume:20 Page:630-636
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
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Author:

Swamy S. R.¹,Lupaş Alina Alb²,Wanas Abbas Kareem³,Nirmala J.⁴

Affiliation:

1. Department of Computer Science and Engineering, RV College of Engineering, Bengaluru - 560 059, Karnataka, INDIA

2. Department of Mathematics and Computer Science, University of Oradea, str. Universitatii nr. 1, 410087 Oradea, ROMANIA

3. Department of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah, Al-Qadisiyah, IRAQ

4. Department of Mathematics, Maharani’s Science College for Women, Bengaluru - 560 001, INDIA

Abstract

In this paper, by making use of Borel distribution we introduce a new family GΣ(δ, γ, λ, τ, r) of normalized analytic and bi-univalent functions in the open unit disk U, which are associated with Horadam polynomials. We establish upper bounds for the initial Taylor-Maclaurin coefficients |a2| and |a3| of functions belonging to the analytic and bi-univalent function family which we have introduced here. Furthermore, we establish the Fekete-Szego problem of functions in this new family.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference45 articles.

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3. A. G. Al-Amoush, Coefficient estimates for certain subclass of bi functions associated with the Horadam Polynomials, arXiv:1812.10589v1, (2018), 1-7.

4. A. G. Al-Amoush, Certain subclasses of biunivalent functions involving the Poisson distribution associated with Horadam polynomials, Malaya J. Mat., 7, (2019), 618-624.

5. A. G. Al-Amoush, Coefficient estimates for a new subclasses of λ-pseudo biunivalent functions with respect to symmetrical points associated with the Horadam Polynomials, Turk. J. Math., 43, (2019), 2865-2875.

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