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Application of differintegral operator of arbitrary order to a nested class of analytic functions with negative coefficients - MaRDI portal

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Application of differintegral operator of arbitrary order to a nested class of analytic functions with negative coefficients (Q2751702)

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scientific article; zbMATH DE number 1665044
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English
Application of differintegral operator of arbitrary order to a nested class of analytic functions with negative coefficients
scientific article; zbMATH DE number 1665044

    Statements

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    27 February 2002
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    differintegral operator
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    analytic functions with negative coefficients
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    Application of differintegral operator of arbitrary order to a nested class of analytic functions with negative coefficients (English)
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    In this paper the author defines a class of analytic functions with negative coefficients. The general class of fractional integral operators investigated provides a unification of the operators studied earlier by \textit{M. Saigo} [Math. Rep. College General Educ., Kyushu Univ. 11, 135-143 (1978; Zbl 0399.45022)] and [Math. Jap. 24, 377-385 (1979; Zbl 0428.35064)]. Classical characterization, distortion and inclusion theorems are proved. Some special cases of the results presented here are also indicated. There are some misprints in the paper.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00018].
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