Symmetric polynomials, Pascal matrices, and Stirling matrices |
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Authors: | Michael Z. Spivey Andrew M. Zimmer |
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Affiliation: | Department of Mathematics and Computer Science, University of Puget Sound, Tacoma, WA 98416-1043, United States |
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Abstract: | We consider lower-triangular matrices consisting of symmetric polynomials, and we show how to factorize and invert them. Since binomial coefficients and Stirling numbers can be represented in terms of symmetric polynomials, these results contain factorizations and inverses of Pascal and Stirling matrices as special cases. This work generalizes that of several other authors on Pascal and Stirling matrices. |
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Keywords: | 15A23 15A09 11B65 11B73 |
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