Abstract

The authors introduce a two-parameter function G ( p , λ ; z ) which is shown to play an important rôle in a unified presentation of many interesting subclasses of analytic and p -valent functions in the open unit disk U . Making use of the familiar principle of differential subordination, several properties and relationships involving the function G ( p , λ ; z ) are derived. Some sufficient conditions for p -valent starlikeness are also obtained.

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