145 citations · 843 across the 63 of their papers we have counts for
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Zero distribution of polynomials satisfying a differential-difference equation
Diego Dominici, Walter Van Assche
In this paper we investigate the asymptotic distribution of the zeros of polynomials satisfying a first order differential-difference equation. We give several examples…
A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions
Saud M. Alsulami, Paul Nevai, József Szabados +1
We study solutions of nonhomogeneous nonlinear second order difference equations of the type $\ell_n = x_n ( σ_{n,1} x_{n+1} + σ_{n,0} x_n + σ_{n,-1} x_{…
Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians
François Ndayiragije, Walter Van Assche
Multiple Meixner polynomials are polynomials in one variable which satisfy orthogonality relations with respect to different negative binomial distributions (Pascal distribut…
Variations of Stieltjes-Wigert and q-Laguerre polynomials and their recurrence coefficients
Lies Boelen, Walter Van Assche
We look at some extensions of the Stieltjes-Wigert weight functions. First we replace the variable x by x^2 in a family of weight functions given by Askey in 1989 and we show that…
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…