Quasi-subordination and coefficient bounds for certain classes of meromorphic functions of complex order

Year 2019, Volume: 68 Issue: 1, 1197 - 1205, 01.02.2019

H. M. Zayed Serap Bulut , A. O. Mostafa

https://doi.org/10.31801/cfsuasmas.513114

Cited By: 1

Abstract

In this paper, we obtain Fekete-Szegö functional |a₁-μa₀²| for functions of the classes Σ_{q}^{∗}(ϕ) and Σ_{q,λ,b}^{∗}(g,ϕ) using quasi-subordination. Sharp bounds for the Fekete-Szegö functional |a₁-μa₀²| are obtained. Also, applications of the main results for subclasses of functions defined by Bessel function are also considered.

Keywords

Analytic, meromorphic, starlike function, Fekete-Szegö problem, convolution, subordination, quasi-subordination, Bessel function

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