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

Öz

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

Anahtar Kelimeler

• 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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