Pointwise asymptotics of the ratio of Jacobi-type polynomials
✍ Scribed by Fejzullahu, Bujar Xh.
- Book ID
- 121427761
- Publisher
- Taylor and Francis Group
- Year
- 2013
- Tongue
- English
- Weight
- 163 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1065-2469
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let {Sn}n denote a sequence of polynomials orthogonal with respect to the Sobolev inner product where ¿ 0 and {d 0; d 1} is a so-called coherent pair with at least one of the measures d 0 or d 1 a Jacobi measure. We investigate the asymptotic behaviour of Sn(x), for n → +∞ and x ÿxed, x ∈ C \ [ -1;
It has been shown in Ferreira et al. [Asymptotic relations in the Askey scheme for hypergeometric orthogonal polynomials, Adv. in Appl. Math. 31(1) (2003) 61-85], López and Temme [Approximations of orthogonal polynomials in terms of Hermite polynomials, Methods Appl. Anal. 6 (1999) 131-146; The Aske