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Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination.

Authors :
Olatunji, Sunday Olufemi
Oluwayemi, Matthew Olanrewaju
Oros, Georgia Irina
Source :
Axioms (2075-1680). Apr2023, Vol. 12 Issue 4, p360. 11p.
Publication Year :
2023

Abstract

Gegenbauer polynomials constitute a numerical tool that has attracted the interest of many function theorists in recent times mainly due to their real-life applications in many areas of the sciences and engineering. Their applications in geometric function theory (GFT) have also been considered by many researchers. In this paper, this powerful tool is associated with the prolific concepts of convolution and subordination. The main purpose of the research contained in this paper is to introduce and study a new subclass of analytic functions. This subclass is presented using an operator defined as the convolution of the generalized distribution and the error function and applying the principle of subordination. Investigations into this subclass are considered in connection to Carathéodory functions, the modified sigmoid function and Bell numbers to obtain coefficient estimates for the contained functions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20751680
Volume :
12
Issue :
4
Database :
Academic Search Index
Journal :
Axioms (2075-1680)
Publication Type :
Academic Journal
Accession number :
163380330
Full Text :
https://doi.org/10.3390/axioms12040360