关于一类含有Dziok-Srivastava算子的多叶解析函数的包含关系和卷积性质

Abstract

Abstract:

In the present paper, the author introduces and investigates a new subclass of multivalent analytic functions involving the Dziok-Srivastava linear operator. Some interesting properties such as inclusion relationships, convolution conditions for this function class are obtained. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.

Key words: Analytic functions, Multivalent functions, Convex univalent functions, Generalized hypergeometric function, Hadamard product (or convolution), Subordination between analytic functions, Dziok-Srivastava operator

CLC Number:

30C45

XU Nai. Inclusion Relations and Convolution Properties of a Certain Class of Analytic and Multivalent Functions Involving the Dziok-Srivastava Operator[J].Acta mathematica scientia,Series A, 2011, 31(1): 216-228.

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Inclusion Relations and Convolution Properties of a Certain Class of Analytic and Multivalent Functions Involving the Dziok-Srivastava Operator

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