On Growth of Meromorphic Solutions for Linear Difference Equations. (19th September 2013)

• Record Type: Journal Article
• Authors: Chen, Zong-Xuan; Shon, Kwang Ho
• Other Names: Yoshida Norio Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-09-19
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/619296
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We mainly study growth of linear difference equations P n ( z ) f ( z + n ) + ⋯ + P 1 ( z ) f ( z + 1 ) + P 0 ( z ) f ( z ) = 0 and P n ( z ) f ( z + n ) + ⋯ + P 1 ( z ) f ( z + 1 ) + P 0 ( z ) f ( z ) = F ( z ), where F ( z ), P 0 ( z ), …, P n ( z ) are polynomials such that F ( z ) P 0 ( z ) P n ( z ) ≢ 0 and give the most weak condition to guarantee that orders of all transcendental meromorphic solutions of the above equations are greater than or equal to 1.