A convolution for the complete and elementary symmetric functions
Number Theory
2018-11-13 v1
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 -Stirling numbers, -Whitney numbers and -binomial coefficients. As a corollary we derive a generalization of the quantum Vandermonde's convolution identity.
Cite
@article{arxiv.1811.04771,
title = {A convolution for the complete and elementary symmetric functions},
author = {Mircea Merca},
journal= {arXiv preprint arXiv:1811.04771},
year = {2018}
}