Recurrence coefficients of Toda-type orthogonal polynomials I. Asymptotic analysis
We study the three-term recurrence coefficients βn,γn, of polynomial sequences orthogonal with respect to a perturbed linear functional depending on a variable z. We obtain power series expansions in z, and asymptotic expansions as n →∞. We use our results to settle some conjectures proposed by Walt...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2020-08-01
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| Series: | Bulletin of Mathematical Sciences |
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| Online Access: | http://www.worldscientific.com/doi/pdf/10.1142/S1664360720500034 |