Displaying similar documents to “An extension of the univalence criterion for a family of integral operators”

An extension of the univalence criterion for a family of integral operators

Erhan Deniz, Halit Orhan (2010)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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The main object of the present paper is to extend the univalence condition for a family of integral operators. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.

Differential subordination and convexity criteria of integral operators

R. Chandrashekar, See Keong Lee, K.G. Subramanian (2017)

Open Mathematics

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A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk. As a consequence, criteria for convexity of functions defined by integral operators are determined. Connections are also made to earlier known results.