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math.CA2011★ 24 cited
Recurrence coefficients of generalized Charlier polynomials and the fifth Painlevé equation
Galina Filipuk, Walter Van Assche
We investigate generalizations of the Charlier polynomials on the lattice , on the shifted lattice and on the bi-lattice $\mathbb{N}\cup (\mathbb{N}+1-…
math.CA2011★ 56 cited
The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation
Galina Filipuk, Walter Van Assche, Lun Zhang
We show that the coefficients of the three-term recurrence relation for orthogonal polynomials with respect to a semi-classical extension of the Laguerre weight satisfy the fourth…
math.CA2011★ 21 cited
Recurrence Coefficients of a New Generalization of the Meixner Polynomials
Galina Filipuk, Walter Van Assche
We investigate new generalizations of the Meixner polynomials on the lattice , on the shifted lattice and on the bi-lattice $\mathbb{N}\cup (\mathbb{N}…