Differential sandwich theorems of symmetric points associated with Dziok-Srivastava operator (Q2868773)

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scientific article; zbMATH DE number 6239453
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Differential sandwich theorems of symmetric points associated with Dziok-Srivastava operator
scientific article; zbMATH DE number 6239453

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    19 December 2013
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    symmetric points
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    differential subordination
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    superordination
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    sandwich theorems
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    Dziok-Srivastava operator
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    Differential sandwich theorems of symmetric points associated with Dziok-Srivastava operator (English)
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    \textit{K. Sakaguchi} [J. Math. Soc. Japan 11, 72--75 (1959; Zbl 0085.29602)] introduced the class of starlike functions with respect to symmetric points; these are normalized analytic functions \(f\) on the open unit disk satisfying \(\text{Re}(zf'(z)/(f(z)-f(-z))>0\). The authors give some applications of the theory of differential subordination and superordination to certain classes of functions with respect to symmetric points defined by making use of the Dziok-Srivastava convolution operator.
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