The Univalent Function Created by the Meromorphic Functions Where Defined on the Period Lattice

Authors : Hasan SAHİN, İsmet YILDIZ

Pages : 303-308

Doi:10.33434/cams.607382

View : 18 | Download : 8

Publication Date : 2019-12-29

Article Type : Research Paper

Abstract :The function $ \xiinsert ignore into journalissuearticles values(z);$ is obtained from the logarithmic derivative function  $\sigmainsert ignore into journalissuearticles values(z);$. The elliptic function $ \wpinsert ignore into journalissuearticles values(z); $ is also derived from the $ \xiinsert ignore into journalissuearticles values(z); $ function. The function $ \wpinsert ignore into journalissuearticles values(z); $ is a function of double periodic and meromorphic function on lattices region. The function $ \wpinsert ignore into journalissuearticles values(z); $ is also double function. The function $ \varphiinsert ignore into journalissuearticles values(z); $  meromorphic and univalent function  was obtained  by the serial expansion of the function $ \wpinsert ignore into journalissuearticles values(z);$. The function $ \varphiinsert ignore into journalissuearticles values(z); $ obtained here is shown to be a convex function.
Keywords : Convex function, Elliptic function, Latices, Meromorphic function