Common Borel Radii of an Algebroid Function and Its Derivative

In this article, by comparing the characteristic functions, we prove that for any ν -valued algebroid function w ( z ) defined in the open unit disk with and the hyper order ρ 2 ( w ) = 0, the distribution of the Borel radii of w ( z ) and w ′( z ) is the same. This is the extension of G. Valiron’s...

Full description

Saved in:
Bibliographic Details
Published in:Resultate der Mathematik 2012-09, Vol.62 (1-2), p.89-101
Main Authors: Wu, Nan, Xuan, Zu-xing
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, by comparing the characteristic functions, we prove that for any ν -valued algebroid function w ( z ) defined in the open unit disk with and the hyper order ρ 2 ( w ) = 0, the distribution of the Borel radii of w ( z ) and w ′( z ) is the same. This is the extension of G. Valiron’s conjecture for the meromorphic functions defined in .
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-011-0132-y