Volume no :1, Issue no: 1, April 2008

ON ALGEBROID FUNCTIONS WITHOUT JULIA DIRECTIONS

Author's: Zu-Xing Xuan
Pages: [61] - [68]
Received Date: January 22, 2008
Submitted by:

Abstract

The main purpose of this paper is to prove that for any positive number there exists a transcendental algebroid function w with logarithmic order such that w has no Julia direction, where is the Nevanlinna characteristic function of w.

Keywords

algebroid function, Julia direction, logarithmic order.