6 citations · 8 across the 4 of their papers we have counts for
4 papers · 1 filter
Multiple q-Kravchuk polynomials
J. Arvesú, A. M. Ramírez-Aberasturis
We study a family of type II multiple orthogonal polynomials. We consider orthogonality conditions with respect to a vector measure, in which each component is a q-analogue of the…
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…
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…
On new rational approximants to ζ(3)
J. Arvesú, A. Soria-Lorente
New (infinitely many) rational approximants to ζ(3) proving its irrationality are given. The recurrence relations for the numerator and denominator of these approximants as well as…