Asymptotics of orthogonal L-polynomials for log-normal distributions
β Scribed by S. Clement Cooper; William B. Jones; W. J. Thron
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 352 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0176-4276
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper some new characterizations of ratio asymptotics for orthogonal polynomials are given.
We strengthen a theorem of Kuijlaars and Serra Capizzano on the distribution of zeros of a sequence of orthogonal polynomials {p n } β n=1 for which the coefficients in the three term recurrence relation are clustered at finite points. The proof uses a matrix argument motivated by a theorem of Tyrty
Strong asymptotics for the sequence of monic polynomials Q n (z), orthogonal with respect to the inner product with z outside of the support of the measure + 2 , is established under the additional assumption that + 1 and + 2 form a so-called coherent pair with compact support. Moreover, the asympt