The Ramanujan Journal

, Volume 1, Issue 3, pp 243–274

Multidimensional Matrix Inversions and Ar and Dr Basic Hypergeometric Series

  • Michael Schlosser

DOI: 10.1023/A:1009705129155

Cite this article as:
Schlosser, M. The Ramanujan Journal (1997) 1: 243. doi:10.1023/A:1009705129155


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.

multidimensional matrix inversions Ar basic hypergeometric series Dr basic hypergeometric series 

Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Michael Schlosser
    • 1
  1. 1.Institut für Mathematik der Universität WienWienAustria

Personalised recommendations