Displaying similar documents to “On certain classes of analytic functions”

Analytic solutions of a second-order functional differential equation with a state derivative dependent delay

Jian-Guo Si, Xin-Ping Wang (1999)

Colloquium Mathematicae

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This paper is concerned with a second-order functional differential equation of the form x ' ' ( z ) = x ( a z + b x ' ( z ) ) with the distinctive feature that the argument of the unknown function depends on the state derivative. An existence theorem is established for analytic solutions and systematic methods for deriving explicit solutions are also given.

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.