Multidimensional Matrix Inversions and Ar and Dr Basic Hypergeometric Series |
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Authors: | Schlosser Michael |
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Institution: | (1) Institut für Mathematik der Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria |
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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. |
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Keywords: | multidimensional matrix inversions Ar basic hypergeometric series Dr basic hypergeometric series |
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