31 citations · 49 across the 7 of their papers we have counts for
7 papers
Miyamoto-Nagai discs embedded in the Binney logarithmic potential: analytical solution of the two-integrals Jeans equations
Christophe O. Smet, Silvia Posacki, Luca Ciotti
We present the analytical solution of the two-integrals Jeans equations for Miyamoto-Nagai discs embedded in Binney logarithmic dark matter haloes. The equations can be solved (bot…
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…
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…
Orthogonal polynomials on a bi-lattice
Christophe Smet, Walter Van Assche
We investigate generalizations of the Charlier and the Meixner polynomials on the lattice N and on the shifted lattice N+1-β. We combine both lattices to obtain the bi-lattice N \c…
Irrationality proof of a -extension of using little -Jacobi polynomials
Christophe Smet, Walter Van Assche
We show how one can use Hermite-Padé approximation and little -Jacobi polynomials to construct rational approximants for . These numbers are -analogues of the well kn…
-Discrete Painlevé equations for recurrence coefficients of modified -Freud orthogonal polynomials
Lies Boelen, Christophe Smet, Walter Van Assche
We present an asymmetric -Painlevé equation. We will derive this using -orthogonal polynomials with respect to generalized Freud weights: their recurrence coefficients will o…