Michael Schlosser

Multidimensional matrix inversions and Ar and Dr basic hypergeometric series

(34 pages)

Abstract. 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 applications of our matrix inversions, we derive new summation formulas for multidimensional basic hypergeometric series.


The following versions are available:


Back to Christian Krattenthaler's home page.