Results 21 to 30 of about 67,871 (69)

Using $\D$-operators to construct orthogonal polynomials satisfying higher order difference or differential equations [PDF]

open access: yes, 2013
We introduce the concept of $\D$-operators associated to a sequence of polynomials $(p_n)_n$ and an algebra $\A$ of operators acting in the linear space of polynomials.
Durán, Antonio J.
core  

Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles: Announcement of Results

open access: yes, 2002
We compute the pointwise asymptotics of orthogonal polynomials with respect to a general class of pure point measures supported on finite sets as both the number of nodes of the measure and also the degree of the orthogonal polynomials become large.
Baik, Jinho   +3 more
core   +1 more source

Dual -1 Hahn polynomials: "classical" polynomials beyond the Leonard duality [PDF]

open access: yes, 2011
We introduce the -1 dual Hahn polynomials through an appropriate $q \to -1$ limit of the dual q-Hahn polynomials. These polynomials are orthogonal on a finite set of discrete points on the real axis, but in contrast to the classical orthogonal ...
Tsujimoto, Satoshi   +2 more
core  

Zeros of orthogonal polynomials in certain discrete Sobolev spaces

open access: bronze, 1996
Sangsoo Han   +2 more
openalex   +1 more source

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