Some results on convex meromorphic functions

Faruk Ucar, Yusuf Avci

Abstract


In this paper, we define a function \(F : D\times D\times D\to \mathbb{C}\) in terms of \(f\) and show that Re\(F > 0\) for all \(\zeta,z,w \in D\) if and only if \(f\) belongs to the class of convex meromorphic functions.

Keywords


Univalent functions; convex meromorphic functions; starlike functions

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References


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DOI: http://dx.doi.org/10.17951/a.2019.73.1.75-82
Date of publication: 2019-12-19 10:33:49
Date of submission: 2019-12-17 11:49:27


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