On some polynomials and continued fractions arising in the theory of integrable systems

This thesis consists of two parts. In the first part an elliptic generalisation of the Bernoulli polynomials is introduced and investigated. We first consider the Faulhaber polynomials which are simply related to the even Bernoulli polynomials and generalise them in relatwn with the classical Lamé...

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Bibliographic Details
Main Author: Grosset, Marie-Pierre J. E.
Published: Loughborough University 2007
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.486004