SOME PROPERTIES OF SUBCLASSES OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850

Abstract

The object of the present paper is to define a new subclass T ζ m,λ(A,B, γ) of analytic functions whose non-negative coefficients from the second onwards are negative by using the differential operator Dζ m,λ. We derive some interesting properties like coefficient inequalities, distortion bounds, convolution conditions and a result which unifies radii of close-to-convexity, starlikeness and convexity.

Keywords and Phrases

Analytic functions, Modified Hadamard product, Coefficient inequalities, Convolution conditions, Al-Oboudi operator.

A.M.S. subject classification

30C45.

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