Local asymptotics of the ratio of orthogonal polynomials in the neighbourhood of an end-point of the support of the orthogonality measure
Journal Article
·
· Sbornik. Mathematics
- Nizhnii Novgorod State Technical University, Nizhnii Novgorod (Russian Federation)
A new method of studying the asymptotic behaviour of orthogonal polynomials in the neighbourhood of an end-point of the support of the orthogonality measure is put forward. The asymptotics in the neighbourhood of the end-point is found in terms of the asymptotics of the values of the polynomials at the point itself and the asymptotic behaviour of the coefficients of the recurrence relations. Applications of the result obtained are considered.
- OSTI ID:
- 21205585
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 2 Vol. 192; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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