Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations

DOI10.1088/1751-8113/40/6/R01zbMath1115.39024MaRDI QIDQ3427189

Rodney G. Halburd, Risto Korhonen

Publication date: 16 March 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

zbMATH Keywords

characteristic functionNevanlinna theory\(q\)-difference equationsBäcklund transformationslinear difference equationssurvey articleWiman-Valiron theoryQRT mapnonlinear first-order difference equations

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Difference equations, scaling ((q)-differences) (39A13)

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