A new multidimensional matrix inverse with applications to
We compute the inverse of a specific infinite r-dimensional matrix,
matrix inverse of Krattenthaler.
Our inversion is different from the
r-dimensional matrix inversion
recently found by Schlosser but generalizes a multidimensional matrix
inversion previously found by Chu. As applications of our
matrix inversion we derive some multidimensional q-series identities.
Among these are q-analogues of Carlitz' multidimensional
Abel-type expansion formulas. Furthermore, we derive a q-analogue
of MacMahon's Master Theorem.
The following versions are available:
Back to Michael Schlosser's