Finite-order meromorphic solutions and the discrete painleve equations

Let w(z) be a finite-order meromorphic solution of the second-order difference equation w(z+1)+w(z-1) = R(z,w(z)) (1) where R(z,w(z)) is rational in w(z) and meromorphic in z. Then either w(z) satisfies a difference linear or Riccati equation or else equation (1) can be transformed to one of a list...

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Bibliographic Details

Main Authors:	R.G. Halburd, R.J. Korhonen
Format:	Default Preprint
Published:	2005
Subjects:	Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/396
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