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A new matrix inverse
Author:
C. Krattenthaler
Journal:
Proc. Amer. Math. Soc. 124 (1996), 47-59
MSC (1991):
Primary 15A09, 33D20, 33C20; Secondary 05A10, 05A19, 05A30, 11B65, 33C70
MathSciNet review:
1291781
Full-text PDF Free Access
Abstract |
References |
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Additional Information
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.
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- 13.
- ------, A new convolution formula and some new orthogonal relations for inversion of series, Duke Math. J. 29 (1962), 393--404. MR 25:3333
- 14.
- ------, A new series transform with application to Bessel, Legrende, and Tchebychev polynomials, Duke Math. J. 31 (1964), 325--334. MR 28:4272
- 15.
- ------, Inverse series relations and other expansions involving Humbert polynomials, Duke Math. J. 32 (1965), 691--711. MR 32:5948
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- 18.
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Additional Information
C. Krattenthaler
Affiliation:
Institut für Mathematik der Universität Wien, Strudlhofgasse 4, A-1090 Wien Austria
Email:
kratt@pap.univie.ac.at
DOI:
http://dx.doi.org/10.1090/S0002-9939-96-03042-0
PII:
S 0002-9939(96)03042-0
Keywords:
Matrix inversion,
inverse relations
Communicated by:
Louis J. Ratliff, Jr.
Article copyright:
© Copyright 1996 American Mathematical Society
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