[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2018.58.2.307

On the Fekete-Szegö Problem for a Certain Class of Meromorphic Functions Using q-Derivative Operator

Aouf, Mohamed Kamal (Department of Mathematics, Faculty of Science, Mansoura University)
Orhan, Halit (Department of Mathematics, Faculty of Science, Ataturk University)

Publication Information

Kyungpook Mathematical Journal / v.58, no.2, 2018 , pp. 307-318 More about this Journal

Abstract

In this paper, we obtain $Fekete-Szeg{\ddot{o}}$ inequalities for certain class of meromorphic functions f(z) for which $$-{\frac{(1-{\frac{{\alpha}}{q}})qzD_qf(z)+{\alpha}qzD_q[zD_qf(z)$ $]$ $}{(1-{\frac{{\alpha}}{q}})f(z)+{\alpha}zD_qf(z)}{\prec}{\varphi}(z)$$ ( $${\alpha}{\in}{\mathbb{C}}{\backslash}(0,1$ $]$ $$$ , 0 < q < 1). Sharp bounds for the $Fekete-Szeg{\ddot{o}}$ functional ${\mid}{\alpha}_1-{\mu}{\alpha}^2_0{\mid}$ are obtained.

Keywords

Analytic; meromorphic; q-starlike and convex functions; $Fekete-Szeg{\ddot{o}}$ problem; convolution;

Citations & Related Records

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