Meromorphic mappings of torus onto the Riemann sphere

A.Ya. Khrystiyanyn; A.A. Kondratyuk

Meromorphic mappings of torus onto the Riemann sphere

Authors

A.Ya. Khrystiyanyn Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
A.A. Kondratyuk Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine

Keywords:

meromorphic function, loxodromic function, torus, toroidal derivative, Ahlfors-Shimizu characteristic

Published online: 2012-06-28

Abstract

The meromorphic mappings of the two dimensional torus onto the Riemann sphere are studied. Their connections with loxodromic meromorphic functions in the punctured plane are considered.