Abstract
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 decay parameter of a birth death process (with killing) are displayed.
Original language | English |
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Pages (from-to) | 847-851 |
Number of pages | 5 |
Journal | Journal of computational and applied mathematics |
Volume | 233 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2009 |
Keywords
- Three-terms recurrence relation
- EWI-15998
- MSC-60J80
- MSC-42C05
- Interval of orthogonality
- IR-67864
- Birth-death process
- Decay parameter
- METIS-263992