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arXiv · 1811.04771

A convolution for the complete and elementary symmetric functions

Mircea Merca
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Abstract

In this paper we give a convolution identity for the complete and elementary symmetric functions. This result can be used to proving and discovering some combinatorial identities involving $r$-Stirling numbers, $r$-Whitney numbers and $q$-binomial coefficients. As a corollary we derive a generalization of the quantum Vandermonde's convolution identity.

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Mircea Merca. 2018-11-07. A convolution for the complete and elementary symmetric functions. https://doi.org/10.1007/s00010-012-0170-x

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