A Difference Picard Theorem for Meromorphic Functions of Several Variables

It is shown that if n ∈ ℕ, c ∈ ℂ n , and three distinct values of a meromorphic function f : ℂ n sr 1 of hyper-order gV( f ) strictly less than 2/3 have forward invariant pre-images with respect to a translation τ: ℂ n sr ℂ n , τ ( z ) = z + c , then f is a periodic function with period c. This resu...

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Bibliographic Details
Published in:	Computational methods and function theory Vol. 12; no. 1; pp. 343 - 361
Main Author:	Korhonen, Risto
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.06.2012
Subjects:	Analysis Computational Mathematics and Numerical Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Second Main Theorem 32H30 39B32 difference analogue Picard’s Theorem several variables 39A12 32H25 partial difference equation
ISSN:	1617-9447, 2195-3724
Online Access:	Get full text
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