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October 2020 On the initial coefficients for certain class of functions analytic in the unit disc
Milutin Obradović, Nikola Tuneski
Rocky Mountain J. Math. 50(5): 1779-1784 (October 2020). DOI: 10.1216/rmj.2020.50.1779

Abstract

Let function f be analytic in the unit disk 𝔻 and be normalized so that f(z)=z+a2z2+a3z3+ In this paper we give sharp bounds of the modulus of its second, third and fourth coefficient, if f satisfies

| arg [ ( z f ( z ) ) 1 + α f ( z ) ] < γ 1 2 π ( z 𝔻 )

for 0<α<1 and 0<γ1.

Citation

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Milutin Obradović. Nikola Tuneski. "On the initial coefficients for certain class of functions analytic in the unit disc." Rocky Mountain J. Math. 50 (5) 1779 - 1784, October 2020. https://doi.org/10.1216/rmj.2020.50.1779

Information

Received: 2 June 2018; Revised: 7 March 2020; Accepted: 9 March 2020; Published: October 2020
First available in Project Euclid: 5 November 2020

zbMATH: 07274834
MathSciNet: MR4170686
Digital Object Identifier: 10.1216/rmj.2020.50.1779

Subjects:
Primary: 30C45, 30C50

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 5 • October 2020
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