Asymptotics for the simplest generalized Jacobi polynomials recurrence coefficients from Freud's equations: numerical explorations.

Details Asymptotics for the simplest generalized Jacobi polynomials recurrence coefficients from Freud's equations: numerical explorations. Asymptotics for the simplest generalized Jacobi polynomials recurrence coefficients from Freud's equations: numerical explorations.

1994-03-18

arxiv.org/abs/math/9403214v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Generalized Jacobi polynomials are orthogonal polynomials related to a
weight function which is smooth and positive on the whole interval of
orthogonality up to a finite number of points, where algebraic singularities
occur. The influence of these singular points on the asymptotic behaviour of
the recurrence coefficients is investigated.

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