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Article

A new family of discrete Painlevé equations and associated linearisable systems

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Pages 153-164 | Received 27 Feb 2012, Accepted 01 Jun 2012, Published online: 07 Nov 2013
 

Abstract

We derive discrete systems which result from a second, not studied up to now, form of the q-PVI equation. The derivation is based on two different procedures: “limits” and “degeneracies”. We obtain several new discrete Painlevé equations along with some linearisable systems. The parallel between the results for the standard form of q-PVI and those of the new one is also established.

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