Some Properties on Complex Functional Difference Equations

We obtain some results on the transcendental meromorphic solutions of complex functional difference equations of the form ∑λ∈Iαλ(z)(∏j=0nf(z+cj)λj)=R(z,f∘p)=((a0(z)+a1(z)(f∘p)+ ⋯ +as(z) (f∘p)s)/(b0(z)+b1(z)(f∘p)+ ⋯ +bt(z)(f∘p)t)), where I is a finite set of multi-indexes λ=(λ0,λ1,…,λn), c0=0,cj∈ℂ∖{0...

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Bibliographic Details
Main Authors: Zhi-Bo Huang, Ran-Ran Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/283895