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MULTINOMIAL VANDERMONDE CONVOLUTION VIA PERMANENT
Published online by Cambridge University Press: 06 November 2020
Abstract
We provide a generalised Laplace expansion for the permanent function and, as a consequence, we re-prove a multinomial Vandermonde convolution. Some combinatorial identities are derived by applying special matrices to the expansion.
MSC classification
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- Research Article
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- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
Footnotes
The author thanks the Faculty of Science, Naresuan University, for financial support on project number P2562C033.