On asymptotics of the Meixner polynomials
✍ Scribed by M. Sh. Dzhamalov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1997
- Tongue
- English
- Weight
- 104 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We study the asymptotics of the smallest and largest zeros of the symmetric and asymmetric Meixner-Pollaczek polynomials using two techniques. One is a Coulomb fluid technique developed earlier where the primary input is the weight function. The second uses the method of chain sequences which suppli
The zeros of the Meixner polynomial m n (x; ;, c) are real, distinct, and lie in (0, ). Let : n, s denote the s th zero of m n (n:; ;, c), counted from the right; and let :Ä n, s denote the sth zero of m n (n:; ;, c), counted from the left. For each fixed s, asymptotic formulas are obtained for both
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