Analytic Univalent fucntions defined by Gegenbauer polynomials

Autor: Sunday Olatunji
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Mahani Mathematical Research, Vol 12, Iss 2, Pp 179-186 (2023)
Druh dokumentu: article
ISSN: 2251-7952
2645-4505
DOI: 10.22103/jmmr.2022.19425.1249
Popis: The numerical tools that have outshinning many others in the history of Geometric Function Theory (GFT) are the Chebyshev and Gegenbauer polynomials in the present time. Recently, Gegenbauer polynomials have been used to define several subclasses of an analytic functions and their yielded results are in the public domain. In this work, analytic univalent functions defined by Gegenbauer polynomials is considered using close-to-convex approach of starlike function. Some early few coefficient bounds obtained are used to establish the famous Fekete-Szego inequalities.
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