Painleve equations and orthogonal polynomials

In this thesis we classify all of the special function solutions to Painleve equations and all their associated equations produced using their Hamiltonian structures. We then use these special solutions to highlight the connection between the Painleve equations and the coefficients of some three-ter...

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Bibliographic Details
Main Author: Smith, James
Other Authors: Clarkson, Peter
Published: University of Kent 2016
Subjects:
515
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.682164