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}
}

Constructing Bispectral Orthogonal Polynomials from the Classical Discrete Families of Charlier, Meixner and Krawtchouk

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

Invariant properties for Wronskian type determinants of classical and classical discrete orthogonal polynomials under an involution of sets of positive integers

Given a finite set $F=\{f_1,\cdots ,f_k\}$ of nonnegative integers (written in increasing size) and a classical discrete family $(p_n)_n$ of orthogonal polynomials (Charlier, Meixner, Krawtchouk or

Bispectrality of Charlier type polynomials

  • A. J. Durán
  • Mathematics
    Integral Transforms and Special Functions
  • 2019
ABSTRACT Given a finite set of positive integers G and polynomials , , with degree of equal to g, we associate to them a sequence of Charlier type polynomials defined from the Charlier polynomials by

On difference operators for symmetric Krall-Hahn polynomials

ABSTRACT The problem of finding measures whose orthogonal polynomials are also eigenfunctions of higher-order difference operators have been recently solved by multiplying the classical discrete

Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters

We construct new examples of exceptional Hahn and Jacobi polynomials. Exceptional polynomials are orthogonal polynomials with respect to a measure which are also eigenfunctions of a second‐order

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