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|Title||Bäcklund Transformation for Discrete Painlevé Equations|
In this thesis we studied an algorithmic method for investigating transformation properties of discrete Painlevé equations. This method yields explicit transformations which relates the solutions of a given discrete Painlevé equation with either the solutions of another discrete Painlevé equation or the same equation but with difierent value of parameters. We applied the method to the second, third, fourth, and fifth discrete Painlevé equation. Moreover we studied special solutions of these equations. Some of these special solutions are given in terms of discrete analogue of the classical special functions.
|Publisher||the islamic university|
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