Multiple big q-Jacobi polynomials

Abstract

Here, we investigate type II multiple big q-Jacobi orthogonal polynomials. We provide their explicit formulae in terms of basic hypergeometric series, raising and lowering operators, Rodrigues formulae, third-order q-difference equation, and we obtain recurrence relations.

Keywords

• basic hypergeometric series
• q-difference equations
• multiple orthogonal polynomials