Waleed Al-Rawashdeh, "Applications of Gegenbauer Polynomials to a Certain Subclass of p-Valent Functions," WSEAS Transactions on Mathematics, vol. 22, pp. 1025-1030, 2023, DOI:10.37394/23206.2023.22.111
Waleed Al-Rawashdeh. Applications of Gegenbauer Polynomials to a Certain Subclass of p-Valent Functions.
WSEAS Transactions on Mathematics. 2023;22:1025-1030. 10.37394/23206.2023.22.111
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
Applications of Gegenbauer Polynomials to a Certain Subclass of p-Valent Functions
Author:
Abstract: The paper presents a subclass of p-valent functions defined by the means of Gegenbauer Polynomials in the open unit disk $$\mathbb{D}$$. We investigate the properties of this new class and provide estimations for the modulus of the coefficients $$a_{p+1}$$ and $$a_{p+2}$$, where $$p ∈ \mathbb{N}$$, for functions belong to this subclass. Moreover, we examine the classical Fekete-Szeg¨o inequality for functions f belong to the presenting subclass.
Keywords:
Analytic Functions, holomorphic Functions, Univalent Functions, p-Valent Functions, Principle of Subordination, Gegenbauer Polynomials, Chebyshev polynomials, Coefficient estimates, Fekete-Szeg¨o Inequality
Pages: 1025-1030 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 22, 2023, Art. #111 DOI: 10.37394/23206.2023.22.111
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