6 citations · 14 across the 7 of their papers we have counts for
7 papers
Interlacing of zeros of Laguerre polynomials of equal and consecutive degree
J. Arvesú, K. Driver, L. Littlejohn
We investigate interlacing properties of zeros of Laguerre polynomials and where and . W…
Zeros of Jacobi and Ultraspherical polynomials
J. Arvesú, K. Driver, L. Littlejohn
Suppose is a sequence of Jacobi polynomials with We discuss special cases of a question raised by Alan Sokal at OPSFA in 2019, nam…
On some Algebraic Properties for q-Meixner Multiple Orthogonal Polynomials of the First Kind
J. Arvesú, A. M. Ramírez-Aberasturis
We study a new family of q-Meixner multiple orthogonal polynomials of the first kind. The discrete orthogonality conditions are considered over a non-uniform lattice with respect t…
On the -Charlier Multiple Orthogonal Polynomials
Jorge Arvesú, Andys M. Ramírez-Aberasturis
We introduce a new family of special functions, namely -Charlier multiple orthogonal polynomials. These polynomials are orthogonal with respect to -analogues of Poisson distr…
Asymptotics for Multiple Meixner Polynomials
A. Aptekarev, J. Arvesú
We study the asymptotic behavior of Multiple Meixner polynomials of first and second kind, respectively (see J. Arvesú et al. J. Comput. Appl. Math., 153, (2003)). We use an algebr…
First order non-homogeneous q-difference equation for Stieltjes function characterizing q-orthogonal polynomials
J. Arvesú, A. Soria-Lorente
In this paper we give a characterization of some classical q-orthogonal polynomials in terms of a difference property of the associated Stieltjes function, i.e this function solves…