q-Leibniz functional matrices with applications to q-Pascal and q-stirling matrices
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We introduce a special q-deformed εmatrix multiplication, which gives q-analogues of matrix multiplication for the q-deformed Leibniz functional matrix from Zhang 1997. This enables a q-analogue of the Yang Leibniz functional matrices from 2009. The complete and signed elementary symmetric polynomials can be expressed as the column generating Leibniz functional matrix and the row generating Leibniz functional matrix, respectively. The factorizations of these matrices give as special cases multiple factorizations of the q-Pascal and q-Stirling matrices.
Abstract
We introduce a special q-deformed εmatrix multiplication, which gives q-analogues of matrix multiplication for the q-deformed Leibniz functional matrix from Zhang 1997. This enables a q-analogue of the Yang Leibniz functional matrices from 2009. The complete and signed elementary symmetric polynomials can be expressed as the column generating Leibniz functional matrix and the row generating Leibniz functional matrix, respectively. The factorizations of these matrices give as special cases multiple factorizations of the q-Pascal and q-Stirling matrices.
참고문헌 (14)
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