Certain new classes of Multivalent Functions of order Alpha and Type Beta

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Abstract

In this paper, a new class δ - TSp(n,q,α,β ) consisting of δ- uniformly starlike, analytic, q-valent functions with negative coefficients of order α and type β and an another new class δ - TUC(n,q,α,β ) consisting of δ-uniformly convex, analytic, q-valent functions with negative coefficients of order α and type β are introduced. Coefficient estimates, distortion theorems, closure theorems and convolution results for functions in these classes are obtained.

Keywords and Phrases

Analytic functions, q-valent, convolution, convex functions, starlike functions.

A.M.S. subject classification

30C45

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