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A Note on Certain Classes of Analytic Functions Defined by Salagean Operator

Hesam Mahzoon, S. Hema Latha

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Abstract

Abstract. LetA be the class of functions of the form f(z) = z+∑∞m=2 am zm which are analytic in the open unit disk U = {z ∈ C: |z | < 1}. We define the new subclasses M(α, β, n) and M(α, β, n) of analytic functions. The object of the present paper is to derive some convolution properties of functions f in the class M(α, β, n).

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Abstract. LetA be the class of functions of the form f(z) = z+∑∞m=2 am zm which are analytic in the open unit disk U = {z ∈ C: |z | < 1}. We define the new subclasses M(α, β, n) and M(α, β, n) of analytic functions. The object of the present paper is to derive some convolution properties of functions f in the class M(α, β, n).

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Available abstract

Abstract. LetA be the class of functions of the form f(z) = z+∑∞m=2 am zm which are analytic in the open unit disk U = {z ∈ C: |z | < 1}. We define the new subclasses M(α, β, n) and M(α, β, n) of analytic functions. The object of the present paper is to derive some convolution properties of functions f in the class M(α, β, n).

Key concepts: Analytic function, Class (philosophy), Convolution (computer science), Mathematics, Quasi-analytic function, Unit disk, Operator (biology), Object (grammar)

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