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Tamara, Rahmalia Firdausi
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Chemistry Control & Systems Engineering Engineering Mathematics Physics

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Subordinateness of the subclass of Bazilevic functions B_2(α) Marjono; Gaspar, Estelita Maria Fernandes; Tamara, Rahmalia Firdausi
Hilbert Journal of Mathematical Analysis Vol. 1 No. 2 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i2.12

Abstract

In 1999 Marjono has published about the subordinateness of subclass of Bazilevic functions. However, the value of β(γ) is not the largest one. In this paper we present our work with my student Estelita Maria from Universidade Timor Loro Sa’e and Rahmalia Firdausi Tamara to find the largest β(γ). This result was obtain by using the similar way with the theorem before and stressing in optimize approaching and also by using the maximum modulus principles as mention in Remark 1.9. For an analytic, normalized function f such that f(0) = f′(0)−1 = 0, there is a largest number β∗(γ) such that subordination holds for α > 0, 0 < γ ≤ 1 and z ∈ D as an improvement of Marjono’s work.
Co-Authors Gaspar, Estelita Maria Fernandes Marjono