On certain subclasses of p-valent functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:Element d.o.o.Journal:Journal of Classical Analysis (issn: 1848-5987,

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Authors: Aouf, M. K.; El-Ashwah, R. M.; Abd-Eltawab, Ahmed M.;

doi: 10.7153/jca-04-03

On certain subclasses of p-valent functions

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Abstract

Summary: This paper gives some inclusion relationships of certain class of \(p\)-valent functions which are defined by using the new linear operator \(\mathfrak{Re}^{\alpha, \gamma}_{\beta,p}\). Further, a property preserving integrals is considered.

Keywords

Jack's lemma, inclusion relationships, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), linear operators, Hadamard product

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