Meromorphic Solutions of Some Complex Difference Equations. (29th June 2009)

• Record Type: Journal Article
• Authors: Huang, Zhi-Bo; Chen, Zong-Xuan
• Other Names: Zhang Binggen Academic Editor.
• Is Part Of: Advances in difference equations. Volume 2009(2009)
• Publication Date: 2009-06-29
• Subjects: Difference equations -- Periodicals; 515.625
• DOI: 10.1155/2009/982681
• Languages: English
• ISSNs: 1687-1847

Abstract

Abstract : The main purpose of this paper is to present the properties of the meromorphic solutions of complex difference equations of the form∑ { J } α J ( z ) ( ∏ j ∈ J f ( z + c j ) ) = R ( z, f ( z ) ), where{ J } is a collection of all subsets of{ 1, 2, …, n }, c j ( j ∈ J ) are distinct, nonzero complex numbers, f ( z ) is a transcendental meromorphic function, α J ( z ) 's are small functions relative tof ( z ), andR ( z, f ( z ) ) is a rational function inf ( z ) with coefficients which are small functions relative tof ( z ) .