145 citations · 843 across the 63 of their papers we have counts for
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math.CA2012★ 9 cited
Ladder operators and differential equations for multiple orthogonal polynomials
Galina Filipuk, Walter Van Assche, Lun Zhang
In this paper, we obtain the ladder operators and associated compatibility conditions for the type I and the type II multiple orthogonal polynomials. These ladder equations extend…
math.CA2012★ 4 cited
The generalized Krawtchouk polynomials and the fifth Painlevé equation
Lies Boelen, Galina Filipuk, Christophe Smet +2
We study the recurrence coefficients of the orthogonal polynomials with respect to a semi-classical extension of the Krawtchouk weight. We derive a coupled discrete system for thes…