Displaying 121 – 140 of 248

Showing per page

On the disc theorem

Cabiria Andreian Cazacu (1991)

Annales Polonici Mathematici

Ahlfors' disc theorem for Riemann covering surfaces is extended to normally exhaustible Klein coverings.

On the exceptional set in Nevanlinna's second fundamental theorem in the unit disc.

Arturo Fernández Arias, Francisco Rodríguez Mateos (1996)

Publicacions Matemàtiques

A general example of an analytic function in the unit disc possessing an exceptional set in Nevanlinna’s second fundamental theorem is built. It is used to show that some conditions on the size of the exceptional set are sharp, extending analogous results for meromorphic functions in the plane.

On the five-point theorems due to Lappan

Yan Xu (2011)

Annales Polonici Mathematici

By using an extension of the spherical derivative introduced by Lappan, we obtain some results on normal functions and normal families, which extend Lappan's five-point theorems and Marty's criterion, and improve some previous results due to Li and Xie, and the author. Also, another proof of Lappan's theorem is given.

On the generalization of two results of Cao and Zhang

Sujoy Majumder (2017)

Mathematica Bohemica

This paper studies the uniqueness of meromorphic functions f n i = 1 k ( f ( i ) ) n i and g n i = 1 k ( g ( i ) ) n i that share two values, where n , n k , k , n i { 0 } , i = 1 , 2 , ... , k - 1 . The results significantly rectify, improve and generalize the results due to Cao and Zhang (2012).

Currently displaying 121 – 140 of 248