Beta-Bazilevič Function

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Sa'adatul Fitri, Mohamad Muslikh

2024 Sahand Communications in Mathematical Analysis Vol. 21 Issue 2 Article Cited by 4 Quartile

Abstract

In this paper, we introduce a relatively new class, B1β(α), namely the class of Beta-Bazilevič function is generated by the function Bazilevič B1(α). We introduce the class in question by constructing the Alpha-Convex function, M(α), introduced by Miller et al. [9]. Using Lemmas of function with positive real part, we were given a sharp estimate of coefficient problems. The coefficient problems to be solved are the modulus of initial coefficients f, the modulus of inverse coefficients f−1, the modulus of the Logarithmic coefficients log z/f(z), the Fekete-Szegö problem and the second Hankel determinant problem. © 2024 University of Maragheh. All rights reserved.

Affiliations

Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, East Java, Malang, 65145, Indonesia