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Deformation of the three-term recursion relation and generation of new orthogonal polynomials

A D Alhaidari

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We find solutions for a linear deformation of the three-term recursion relation. The orthogonal polynomials of the first and second kind associated with the deformed relation are obtained. The new density (weight) function is written in terms of the original one and the deformation parameters.


PACS

02.30.Gp Special functions

02.10.Yn Matrix theory

03.65.Fd Algebraic methods

02.30.Sa Functional analysis

MSC

33C47 Other special orthogonal polynomials and functions

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 43 (1 November 2002)

Received 25 April 2002

Published 15 October 2002



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