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MULTINOMIAL VANDERMONDE CONVOLUTION VIA PERMANENT

Published online by Cambridge University Press:  06 November 2020

KIJTI RODTES*
Affiliation:
Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand

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.

Type
Research Article
Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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Footnotes

The author thanks the Faculty of Science, Naresuan University, for financial support on project number P2562C033.

References

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