Nonlinear equations for the recurrence coefficients of discrete orthogonal polynomials
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 259-274 |
Journal / Publication | Journal of Mathematical Analysis and Applications |
Volume | 376 |
Issue number | 1 |
Publication status | Published - 1 Apr 2011 |
Link(s)
Abstract
We study polynomials orthogonal on a uniform grid. We show that each weight function gives two potentials and each potential leads to a structure relation (lowering operator). These results are applied to derive second order difference equations satisfied by the orthogonal polynomials and nonlinear difference equations satisfied by the recursion coefficients in the three-term recurrence relations. © 2010 Elsevier Inc.
Research Area(s)
- Discrete orthogonal polynomials, Nonlinear difference equations, Raising and lowering operators, Supplementary conditions
Citation Format(s)
Nonlinear equations for the recurrence coefficients of discrete orthogonal polynomials. / Ismail, Mourad E.H.; Simeonov, Plamen.
In: Journal of Mathematical Analysis and Applications, Vol. 376, No. 1, 01.04.2011, p. 259-274.
In: Journal of Mathematical Analysis and Applications, Vol. 376, No. 1, 01.04.2011, p. 259-274.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review