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Coefficient estimate of bi-Bazilevič functions of Sakaguchi type based on Srivastava-Attiya operator - MaRDI portal

Coefficient estimate of bi-Bazilevič functions of Sakaguchi type based on Srivastava-Attiya operator (Q2815313)

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scientific article; zbMATH DE number 6598926
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English
Coefficient estimate of bi-Bazilevič functions of Sakaguchi type based on Srivastava-Attiya operator
scientific article; zbMATH DE number 6598926

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    27 June 2016
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    univalent functions
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    Sakaguchi functions
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    bi-starlike and bi-convex functions
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    Coefficient estimate of bi-Bazilevič functions of Sakaguchi type based on Srivastava-Attiya operator (English)
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    The authors introduce and investigate a new subclass of the function class \(\Sigma\) of bi-univalent functions defined in the open unit disk, which are associated with the Hurwitz-Lerch zeta function. They also find estimates on the Taylor-Maclaurin coefficients \(| a_2| \) and \(| a_3| \) for functions in this new subclass. Several consequences of the results are also pointed out.
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