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math.CA2013★ 20 cited
Multiple orthogonal polynomials associated with an exponential cubic weight
Walter Van Assche, Galina Filipuk, Lun Zhang
We consider multiple orthogonal polynomials associated with the exponential cubic weight e^{-x^3} over two contours in the complex plane. We study the basic properties of these pol…
math.CA2013
On the recurrence coefficients of generalized little -Laguerre polynomials
Galina Filipuk, Christophe Smet
In this paper we consider a semi-classical variation of the weight related to the little -Laguerre polynomials and obtain a second order second degree discrete equation for the…