Projection formulas for orthogonal polynomials

Details Projection formulas for orthogonal polynomials Projection formulas for orthogonal polynomials

2006-06-04

arxiv.org/abs/math/0606092v2

Mathematics

Classical Analysis and ODEs

Scientific paper

We prove a projection formula for the four-parameter family of orthogonal
polynomials that are a reparameterization of the polynomials in the
Askey-Wilson class. By carefully analyzing the recurrence relations we manage
to avoid using the explicit expression for the orthogonality measure, which
would be cumbersome due to the complexity of the reparameterization.

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