Eulerian summation operators and a remarkable family of polynomials
Combinatorics
2018-07-31 v1
Abstract
We give several families of polynomials which are related by Eulerian summation operators. They satisfy interesting combinatorial properties like being integer-valued at integral points. This involves nearby-symmetries and a recursion for the values at half-integral points. We also obtain identities for super Catalan numbers.
Keywords
Cite
@article{arxiv.1807.11208,
title = {Eulerian summation operators and a remarkable family of polynomials},
author = {Kathrin Maurischat and Rainer Weissauer},
journal= {arXiv preprint arXiv:1807.11208},
year = {2018}
}