Note: On a problem related to the Vandermonde determinant

Authors:
Tomohiro Sogabe;Moawwad El-Mikkawy
Affiliations:
Department of Computational Science and Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan;Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Venue:
Discrete Applied Mathematics
Year:
2009

Citing 2
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Symmetric functions and the Vandermonde matrix

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Polynomials arising in factoring generalized Vandermonde determinants: an algorithm for computing their coefficients

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Abstract

This short note describes new properties of the elementary symmetric polynomials, and reveals that the properties give an answer to the conjecture raised by El-Mikkawy in [M.E.A. El-Mikkawy, On a connection between the Pascal, Vandermonde and Stirling matrices-II, Appl. Math. Comput. 146 (2003) 759-769].