On the subrings of the ring of analytic functions and conformally equivalence

Authors : Ekrem KADIOĞLU

Pages : 0-0

Doi:10.1501/Commua1_0000000447

View : 7 | Download : 9

Publication Date : 1996-01-01

Article Type : Research Paper

Abstract :We consider the discrete sets D.cG. of the regions G. in the complex plane and study the subrings of the rings of analytie functions Ainsert ignore into journalissuearticles values(G.); corresponding to these discrete sets D. insert ignore into journalissuearticles values(i=12);. Furthermore, we prove that the sets of zeros of the functions which map onto each other under the Ainsert ignore into journalissuearticles values(Gp, are also mapped onto each other by a eonformal mapping Gj, where ®insert ignore into journalissuearticles values(/);=/otp.
Keywords : subrings, conformally equivalence, analytic functions