STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR OPERATOR

doi:10.1016/S0252-9602(14)60095-3

Abstract

Abstract:

In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator L^α_k . For functions in this class H^α_k (p, λ; h) we estimate the coefficients. Furthermore, some subordination properties related to the operator L^α_k are also derived.

Key words: analytic functions, univalent functions, p-valent functions, differential subor-dination, Carlson-Shaffer operator, Salagean operator, Dziok-Srivastava oper-ator

CLC Number:

30C45

Samaneh Gholizadeh HAMIDI, Suzeini Abdul HALIM, Janusz SOKóL. STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR OPERATOR[J].Acta mathematica scientia,Series B, 2014, 34(5): 1446-1460.

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