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- Title
RESULTS FOR A NEW SUBCLASS OF ANALYTIC FUNCTIONS CONNECTED WITH OPOOLA DIFFERENTIAL OPERATOR AND GEGENBAUER POLYNOMIALS.
- Authors
Oyekan, E. A.; Awolere, I. T.; Adepoju, P. O.
- Abstract
In this paper, the authors introduce and investigate a subclass of analytic functions Εm(β,λ,φ,γ ) (Ησ, α, δ, μ, l), satisfying certain subordinate condition associated with Gegenbauer polynomials. For the subclass introduced, we derive initial coefficients α2 and α3 and also obtain the classical Fekete-Szegë problem for functions in the subclass. Finally, our findings show relevant connections between our results and those in some earlier known investigations and obviously improve them.
- Subjects
GEGENBAUER polynomials; POLYNOMIAL operators; UNIVALENT functions; DIFFERENTIAL operators
- Publication
Acta Universitatis Apulensis: Mathematics-Informatics, 2024, Issue 75, p23
- ISSN
1582-5329
- Publication type
Article
- DOI
10.17114/j.aua.2023.74.03