Kendisi ve Tersi Yalınkat Fonksiyonların Balans Polinomları ile Tanımlanan Bazı Yeni Alt Sınıfları Üzerine

Year 2023, Volume: 5 Issue: 1, 25 - 32, 30.06.2023

İbrahim Aktaş , İnci Karaman

https://doi.org/10.55213/kmujens.1252471

Cited By: 3

Abstract

Bu makalede, Balans polinomları kullanılarak kendisi ve tersi yalınkat olan analitik fonksiyonların iki yeni alt sınıfı tanıtılmıştır. Daha sonra, bu yeni sınıflara ait fonksiyonların ilk iki Taylor-Maclaurin katsayıları için katsayı tahminleri belirlenmiştir. Son olarak, tanımlanan sınıflardaki fonksiyonlar i¸cin Fekete-Szegö problemi ele alınıp incelenmiştir

Keywords

Balans polinomları, Bi-¨univalent fonksiyon, katsayı tahminleri, Fekete-Szeg¨o fonksiyoneli.

On some new subclasses of bi-univalent functions defined by Balancing polynomials

Abstract

In this paper, two new subclasses of holomorphic and bi-univalent functions are introduced by using Balancing polynomials. Then, coefficient estmations are determined for the first two coefficients of functions belonging to these new classses. Finally, the Fekete-Szeg¨o problem is handled for the functions in subclasses defined.

Keywords

Balancing polynomials, Bi-univalent function, coefficient estimates, Fekete-Szeg\"{o} functional

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