This material has been published in
Proc. Amer. Math.
Soc. 124 (1996), 47-59,
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Christian Krattenthaler
A new matrix inverse
(13 pages)
Abstract.
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.
Comment:
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.
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