Combinatorial interpretations of the q-Faulhaber and q-Salié coefficients |
| |
Authors: | Victor J.W. Guo Martin Rubey Jiang Zeng |
| |
Affiliation: | a Institut Camille Jordan, Université Claude Bernard (Lyon I), F-69622 Villeurbanne Cedex, France b Institut für Statistik und Decision Support, Universität Wien, A-1010 Wien, Austria |
| |
Abstract: | Recently, Guo and Zeng discovered two families of polynomials featuring in a q-analogue of Faulhaber's formula for the sums of powers and a q-analogue of Gessel-Viennot's formula involving Salié's coefficients for the alternating sums of powers. In this paper, we show that these are polynomials with symmetric, nonnegative integral coefficients by refining Gessel-Viennot's combinatorial interpretations. |
| |
Keywords: | q-Faulhaber coefficients q-Salié coefficients Complete symmetric functions Lattice paths |
本文献已被 ScienceDirect 等数据库收录! |