Clarkson, P.A. and Webster, H.N. (2000) Hierarchies of exact solutions for the discrete third Painleve equation. In: 2nd Brussels Meeting on Integrability and Chaos in Discrete Systems, Brussels, Belgium.
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In this paper, we construct hierarchies of rational solutions of the discrete third Painleve equation (d-PIII) by applying Schlesinger transformations to simple initial solutions. We show how these solutions reduce in the continuous limit to the hierarchies of rational solutions of the third Painleve equation (PIII). We also study the solutions of d-PIII which are expressed in terms of discrete Bessel functions and show that these solutions reduce in the continuous limit the hierarchies of special function solutions of PIII. (C) 1999 Elsevier Science Ltd. All rights reserved.
|Item Type:||Conference or workshop item (Other)|
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||P. Ogbuji|
|Date Deposited:||03 Apr 2009 17:25|
|Last Modified:||03 Apr 2009 17:25|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/16287 (The current URI for this page, for reference purposes)|
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