• ON ANALYTIC FUNCTIONS DEFINED BY RUSCHEWEYH DERIVATIVE AND A NEW GENERALIZED MULTIPLIER DIFFERENTIAL OPERATOR

S. R. SWAMY*

Abstract


New subclasses of analytic functions, containing the linear operator obtained as a linear combination of Ruscheweyh derivative and a new generalized multiplier transformation have been considered. Sharp results concerning coefficients, distortion theorems of functions belonging to these classes are determined. Furthermore, Functions with negative coefficients belonging to these classes are also discussed.


Keywords


Analytic function, differential operator, multiplier transformation, distortion theorem.

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