On the zeros of Meixner polynomials
✍ Scribed by Jooste, A.; Jordaan, K.; Toókos, F.
- Book ID
- 120268624
- Publisher
- Springer-Verlag
- Year
- 2012
- Tongue
- English
- Weight
- 243 KB
- Volume
- 124
- Category
- Article
- ISSN
- 0029-599X
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📜 SIMILAR VOLUMES
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
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