A q-analogue and a symmetric function analogue of a result by Carlitz, Scoville and Vaughan

Yifei Li

We derive an equation that is analogous to a well-known symmetric function identity: ${\sum }_{i=0}^n(-1{)}^i{e}_i{h}_{n-i}=0$. Here the elementary symmetric function $e_i$ is the Frobenius…