Multinomial Vandermonde convolution via permanent

Authors

  • K. Rodtes Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand.

Keywords:

permanent, Laplace expansion, Vandermonde convolution, derangement numbers

Abstract

A generalized Laplace expansion for the permanent function is provided. As a consequence, a multinomial Vandermonde convolution is reproved. Some combinatorial identities are derived by applying some special matrices to the expansion.

http://dx.doi.org/10.1017/S0004972712000330

Published

2021-05-03

Issue

Section

Articles