Displaying similar documents to “Radial growth and variation of univalent functions and of Dirichlet finite holomorphic functions”

A note on Briot-Bouquet-Bernoulli differential subordination

Stanisława Kanas, Joanna Kowalczyk (2005)

Commentationes Mathematicae Universitatis Carolinae

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Let p , q be analytic functions in the unit disk 𝒰 . For α ∈ [ 0 , 1 ) the authors consider the differential subordination and the differential equation of the Briot-Bouquet type: p 1 - α ( z ) + z p ' ( z ) δ p α ( z ) + λ p ( z ) ≺ h ( z ) , z ∈ 𝒰 , q 1 - α ( z ) + n z q ' ( z ) δ q α ( z ) + λ q ( z ) = h ( z ) , z ∈ 𝒰 , with p ( 0 ) = q ( 0 ) = h ( 0 ) = 1 . The aim of the paper is to find the dominant and the best dominant of the above subordination. In addition, the authors give some particular cases of the main result obtained for appropriate choices of functions h .

On a Class of Univalent Functions with Negative Coefficients Върху един клас от еднолистни функции с отрицателни коефициенти

Pashkouleva, Donka (2010)

Union of Bulgarian Mathematicians

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Донка Пашкулева - Предмет на тази статия е получаването на точни оценки за коефициентите и ръста на функциите за някои класове еднолистни функции с отрицателни коефициенти. The aim of this paper is to obtain sharp results involving coefficient bounds, growth and distortion properties for some classes of analytic and univalent functions with negative coefficients. *2000 Mathematics Subject Classification: 30C.