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