Mellin transforms for multiple Jacobi-Piñeiro polynomials and a q-analogue

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

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