# Constructing Krall-Hahn orthogonal polynomials

@article{Duran2014ConstructingKO,
title={Constructing Krall-Hahn orthogonal polynomials},
author={Antonio J. Dur'an and Manuel Dom{\'i}nguez de la Iglesia},
journal={arXiv: Classical Analysis and ODEs},
year={2014}
}
• Published 28 July 2014
• Mathematics
• arXiv: Classical Analysis and ODEs
16 Citations

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## References

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• Mathematics
• 2013
Given a sequence of polynomials $$(p_n)_n$$(pn)n, an algebra of operators $${\mathcal A}$$A acting in the linear space of polynomials, and an operator $$D_p\in {\mathcal A}$$Dp∈A with

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Koornwinder's generalized Laguerre polynomials {L` N(X)}oo0 are orthogonal on the interval [0, oo) with respect to the weight function 1 f-)xae x + N3(x), (x > -1, N > 0. We show that these

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Orthogonal polynomials satisfying fourth order differential equations were classified by H. L. Krall [K2]. They can be obtained from very special instances of the (generalized) Laguerre and the

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In 1999, Grünbaum, Haine and Horozov defined a large family of commutative algebras of ordinary differential operators, which have orthogonal polynomials as eigenfunctions. These polynomials are

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• Mathematics
• 2006
The two linearly independent solutions of the three-term recurrence relation of the associated Askey-Wilson polynomials, found by Ismail and Rahman in [22], are slightly modified so as to make it