Location of zeros of polynomials in the unit disc: problems and challenges
A free boundary problem in potential theory and singularity distribution of soluti...
A class of orthogonal functions that satisfy a three-term recurrence formula
| Full text | |
| Author(s): |
Total Authors: 4
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| Affiliation: | [1] Univ Vigo, Dept Matemat Aplicada 2, EE Telecomunicac, Vigo 36310 - Spain
[2] Univ Estadual Paulista, Dept Matemat Aplicada, IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[3] Univ Vigo, Dept Matemat Aplicada 2, EE Ind, Vigo 36310 - Spain
[4] Univ Fed Sao Paulo, Dept Ciencia & Tecnol, BR-12231280 Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 4
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| Document type: | Journal article |
| Source: | NUMERICAL ALGORITHMS; v. 69, n. 3, p. 611-624, JUL 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
Sharp bounds for the zeros of symmetric Kravchuk polynomials K (n) (x;M) are obtained. The results provide a precise quantitative meaning of the fact that Kravchuk polynomials converge uniformly to Hermite polynomials, as M tends to infinity. They show also how close the corresponding zeros of two polynomials from these sequences of classical orthogonal polynomials are. (AU) | |
| FAPESP's process: | 09/13832-9 - Orthogonal polynomials, special functions and applications |
| Grantee: | Dimitar Kolev Dimitrov |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 13/23606-1 - Methods for approximate calculus of sums and series |
| Grantee: | Dimitar Kolev Dimitrov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |