Research Article Inclusion Properties for Certain Subclasses of Analytic Functions Associated with the Dziok-Srivastava Operator
نویسندگان
چکیده
منابع مشابه
Some Properties of Certain Subclasses of Multivalent Functions Involving the Dziok-srivastava Operator
The main purpose of the present paper is to derive such results as inclusion relationships and convolution properties for certain new subclasses of multivalent analytic functions involving the Dziok-Srivastava operator. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.
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Carlson and Shaffer [B.C. Carlson, D.B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15 (1984) 737–745] have introduced a linear operator associated with the Gaussian hypergeometric function which has been generalized by Dziok and Srivastava [J. Dziok, H.M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl....
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The object of the present paper is to investigate some inclusion relationships and argument properties of several subclasses of multivalent analytic functions, which are defined here by using the Dziok-Srivastava operator. Furthermore, relevant connections of the results presented in this paper with those obtained in earlier works are also pointed out. AMS subject classification: 30C45, 30C50.
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Keywords: Meromorphic functions Multivalent functions Dziok–Srivastava linear operator Hadamard product (or convolution) Subordination between analytic functions Generalized hypergeometric function Symmetric points Conjugate points Symmetric conjugate points a b s t r a c t In the present paper, we introduce and investigate each of the following new subclasses: of meromorphically p-valent funct...
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In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We estimate the coefficients $|a_{2} |$ and $|a_{3} |$ for functions in these new subclasses. Several consequences of the result are also pointed out.
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