Abstract

A symbolic/variable-precision procedure is described (and implemented in Matlab) that generates an arbitrary number N of recurrence coefficients for orthogonal polynomials to any given precision nofdig. The only requirement is the availability of a variable-precision routine for computing the first 2 N moments of the underlying weight function to any precision dig > nofdig. The procedure is applied to Freud, Bose–Einstein, and Fermi–Dirac orthogonal polynomials.

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