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Title

NEIGHBORHOODS OF A CERTAIN CLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS

Writers

CATAS A.

Pages

 Start Page 111 | End Page 121

Abstract

 A certain subclass of ANALYTIC FUNCTIONs in the open unit disc with negative coefficients is introduced. The new class is defined by means of MULTIPLIER TRANSFORMATIONs. By making use of the familiar concept of neighborhoods of ANALYTIC FUNCTION, the author proves coefficient inequalities, distortion theorems and associated inclusion relations for the (n, d)-neighborhoods of functions belonging to the new class, which satisfy a certain nonhomogeneous Cauchy- Euler differential equation.

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