On the q-Charlier Multiple Orthogonal Polynomials
On the q-Charlier Multiple Orthogonal Polynomials
We introduce a new family of special functions, namely q-Charlier multiple orthogonal polynomials.These polynomials are orthogonal with respect to q-analogues of Poisson distributions.We focus our attention on their structural properties.Raising and lowering operators as well as Rodrigues-type formulas are obtained.An explicit representation in terms of a q-analogue of the second …