Distortion theorem for a subclass of Bazilevic functions B1(α).

Autor: Marjono, Fitri, Saadatul, Wibowo, Ratno Bagus E., Asih, Ni Made
Zdroj: AIP Conference Proceedings; 2024, Vol. 3029 Issue 1, p1-7, 7p
Abstrakt: This paper concerns with the normalised analytic functions f on the unit disc D= {z: |z|<1}. We consider the work of Singh, Thomas, Marjono, Sokol, Khrisna and Fitri. We use some properties of the functions with positive real parts, one of them is for example Caratheodory-Toeplitz inequality. We present the distortion and the Fekete-Szego problems of subclass of Bazileviˇc functions, B1(α). First, we present the result of Singh concerning the sharp value of the coefficients for B1(α), |a2|, |a3| and |a4|. Second, we give a solution of the Fekete-Szego problems with the sharp results. Next, we used the similar methods to obtain estimates for the linear expressions involving higher coefficients of Bazilevic function in B1(α). [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index