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- Title
Orthogonal Polynomials with Respect to the Form u = λχ<sup>-1</sup>v + δ<sub>0</sub> + ((u)<sub>1</sub> - λ) δ<sub>0</sub>.
- Authors
Sghaier, M.; Zaatra, M.
- Abstract
In this paper, we study properties of the form (linear functional) u = λχ-1v + δ0 + (λ - (u)1) δ0, where v is a regular form. We give a necessary and sufficient condition for the regularity of the form u. The coefficients of the three-term recurrence relation, satisfied by the corresponding sequence of orthogonal polynomials, are given explicitly. A study of the semi-classical character of the founded families is done. We conclude with some illustrative examples.
- Subjects
LINEAR systems; FUNCTIONALS; POLYNOMIALS; ORTHOGONAL functions; MATHEMATICAL sequences
- Publication
Azerbaijan Journal of Mathematics, 2012, Vol 2, Issue 2, p25
- ISSN
2218-6816
- Publication type
Article