Mellin transforms for multiple Jacobi–Piñeiro polynomials and a qq-analogue

This work treats the Mellin transform of multiple Jacobi–Piñeiro polynomials. This allows us to put a number of irrationality and QQ-linear independence proofs into the framework of Hermite–Padé approximation. A similar approach is presented for the qq-analogue: the qq-Mellin transform of multiple little qq-Jacobi polynomials and its applications in irrationality proofs.