An annulus for the zeros of polynomials
โ Scribed by M. Bidkham; E. Shashahani
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 197 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
In this paper, we prove a more general result concerning the location of the zeros of a polynomial in a ring shaped region involving binomial coefficients and t-Fibonacci numbers. We include not only some known results as special cases, but also improve the results due to Daiz-Barrero and Egozcue [6] as a particular case.
๐ SIMILAR VOLUMES
We establish some representations for the smallest and largest zeros of orthogonal polynomials in terms of the parameters in the three-terms recurrence relation. As a corollary we obtain representations for the endpoints of the true interval of orthogonality. Implications of these results for the de
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 :ร 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