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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Vydané v:	Computational methods and function theory Ročník 12; číslo 1; s. 343 - 361
Hlavný autor:	Korhonen, Risto
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer-Verlag 01.06.2012
Predmet:	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
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