Asymptotic behaviour of zeros of Bieberbach polynomials
β Scribed by N. Papamichael; E.B. Saff; J. Gong
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 975 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let [h n (z)] be the sequence of polynomials, satisfying where \* n # [0, 2n], n # N. For a wide class of weights d\(x) and under the assumption lim n Γ \* n Γ(2n)=% # [0, 1], two descriptions of the zero asymptotics of [h n (z)] are obtained. Furthermore, their analogues for polynomials orthogonal
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 :Γ 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