This material has been published in
Proc. Amer. Math.
Soc. 124 (1996), 47-59,
the only definitive repository of the content that has been
certified and accepted after peer review. Copyright and all rights therein
are retained by the American Mathematical Society.
This material may not be copied or reposted
without explicit permission.
A new matrix inverse
We compute the inverse of a specific infinite-dimensional
matrix, thus unifying a number of previous matrix inversions.
Our inversion theorem is applied to derive a number of summation
formulas of hypergeometric type.
Michael Schlosser found a far-reaching
generalization of the
matrix inversion of this paper. He uses his generalization to derive many new
summation formulas for Ar and Dr
basic hypergeometric series identities.
All this is subject of the paper
"Multidimensional matrix inversions and
Ar and Dr basic hypergeometric series",
The Ramanujan J. 1 (1997), 243-274.
The following versions are available:
Back to Christian Krattenthaler's