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On orthogonal polynomials associated with rational perturbations of linear functional
-
Mabrouk Sghaier
and
Mohamed Zaatra
Published/Copyright:
June 5, 2013
Abstract.
In this paper, we study properties of the linear functional u satisfying
where v is a regular linear functional. We give a necessary and sufficient condition for the regularity of the linear functional 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 an illustrative example.
Received: 2012-06-07
Accepted: 2013-02-09
Published Online: 2013-06-05
Published in Print: 2013-06-01
© 2013 by Walter de Gruyter Berlin Boston
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- Erratum: Harmonic boundary value problems in a quarter ring domain [Adv. Pure Appl. Math. 3 (2012), 393–419]
- Dunkl kernel and Dunkl translation for a positive subsystem of orthogonal roots
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Keywords for this article
Orthogonal polynomials;
recurrence
relation;
semi-classical linear functionals
Articles in the same Issue
- Masthead
- Erratum: Harmonic boundary value problems in a quarter ring domain [Adv. Pure Appl. Math. 3 (2012), 393–419]
- Dunkl kernel and Dunkl translation for a positive subsystem of orthogonal roots
- On orthogonal polynomials associated with rational perturbations of linear functional
- Multiple solutions for a class of p(x)-Kirchhoff type problems with Neumann boundary conditions
- A further application of power increasing sequences
- Regularity of fractal interpolation functions via wavelet transform
- Finite groups with some weakly s-semipermutable subgroups
- Stratification of the fourth secant variety of Veronese varieties via the symmetric rank
