Abstract
In this paper, we give some new extensions and some new applications of our results on the perturbation of coefficients and the order of a general recurrence relation—for example we will give some new results for the asymptotic properties, for the zeros and for the differential equations of the polynomials which satisfy the perturbed recurrence relation.
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Leopold, E. Perturbed recurrence relations III the general case—some new applications. Numer Algor 48, 383–402 (2008). https://doi.org/10.1007/s11075-008-9212-9
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DOI: https://doi.org/10.1007/s11075-008-9212-9
Keywords
- Perturbed orthogonal polynomial system
- General recurrence relations with perturbed coefficients
- Sobolev recurrence relations
- Differential equations
- Zeros