Work

Bi-univalent characteristics for a particular class of Bazilevič functions generated by convolution using Bernoulli polynomials

Year: 2024

Type: article

Abstract: Special functions and special polynomials have been used and studied widely in the context of Geometric function theory of Complex Analysis by the many authors. Here, in our present investigations, making use of the convolution, we first introduce a new subclass of Bazilevivč bi-univalent functions involving the Bernoulli Polynomials. We then find the first two Taylor-Maclaurin coefficient |a2| and |a3| for our defined functions class. We then calculate the bounds for the Fekete Szegö inequality for the defined function class. Also some known consequences of our main results are highlighted in the form of Corollaries.

Source: Arab Journal of Basic and Applied Sciences

DOI: 10.1080/25765299.2024.2406147

Authors: G. Saravanan, S. Baskaran, Jihad Younis, Bilal Khan, Musthafa Ibrahim

Institutions: Amrita Vishwa Vidyapeetham, University of Aden, Tongji University, University of Buraimi

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $944

OpenAlex ID: W4402994040

FWCI:

Cites: 26

Cited by:

Related to: 10