ISSN:
1572-9303
Keywords:
multidimensional matrix inversions
;
Ar basic hypergeometric series
;
Dr basic hypergeometric series
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1009705129155
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