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 inversionsAr basic hypergeometric seriesDr basic hypergeometric series

Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

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