A concise expression for the ODE's of orthogonal polynomials

Details A concise expression for the ODE's of orthogonal polynomials A concise expression for the ODE's of orthogonal polynomials

2001-09-20

arxiv.org/abs/math-ph/0109018v1

Physics

Mathematical Physics

Scientific paper

It is known that orthogonal polynomials obey a 3 terms recursion relation, as
well as a 2x2 differential system. Here, we give an explicit and concise
expression of the differential system in terms of the recursion coefficients.
This result is a generalization of an expression of Fokas, Its and Kitaev for
the symmetric case.

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