Some families of fractional derivative and other linear operators associated with analytic, univalent, and multivalent functions (Q2782472)

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scientific article; zbMATH DE number 1724402
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Some families of fractional derivative and other linear operators associated with analytic, univalent, and multivalent functions
scientific article; zbMATH DE number 1724402

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    9 March 2003
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    fractional derivatives
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    convolution operators
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    Ruscheweyh derivatives
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    univalent functions
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    multivalent functions
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    Some families of fractional derivative and other linear operators associated with analytic, univalent, and multivalent functions (English)
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    In this paper, the author delves systematically into the investigation of several interesting forms of operators of fractional calculus, Ruscheweh derivatives, Salagean derivatives and most recently operators defined by the Hadamard product (or convolution) [\textit{J. Dziok} and \textit{H. M. Srivastava}, Appl. Math. Comput. 103, No. 1, 1-13 (1999; Zbl 0937.30010)]. The paper gives useful account of the fruiful applications of the above operators in the geometric function theory concerning the properties of subordinations, inclusion relationship, distortion and growth relations of certain classes of univalent, analytic and multivalent functions. The paper is enriched with fifty one least references on the subject.NEWLINENEWLINEFor the entire collection see [Zbl 0980.00021].
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