Eulerian summation operators and a remarkable family of polynomials
classification
🧮 math.CO
keywords
eulerianoperatorspointspolynomialssummationcatalancombinatorialfamilies
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.