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

Authors : H M ZAYED, Serap BULUT, A O MOSTAFA

Pages : 1197-1205

Doi:10.31801/cfsuasmas.513114

View : 15 | Download : 9

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :In this paper, we obtain Fekete-Szegö functional |a₁-μa₀²| for functions of the classes Σ_{q}^{∗}insert ignore into journalissuearticles values(ϕ); and Σ_{q,λ,b}^{∗}insert ignore into journalissuearticles values(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