We compute the inverse of a specific infinite r-dimensional matrix, thus
unifying multidimensional matrix inversions recently found by Milne,
Lilly, and Bhatnagar. Our inversion is an r-dimensional extension of a
matrix inversion previously found by Krattenthaler. We also compute the
inverse of another infinite *r*-dimensional matrix. As an application of
our matrix inversion, we derive new multidimensional bibasic summation
formulas.

The following version are available:

- PDF (251 K)
- PostScript (290 K)