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

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

2002-04-07

arxiv.org/abs/math-ph/0204012v1

J. Phys. A 35, 9071 (2002)

Physics

Mathematical Physics

12 pages, 3 figures

Scientific paper

10.1088/0305-4470/35/43/307

We find solutions for a linear deformation of the symmetric 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.

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