Symmetric functions and a natural framework for combinatorial and number theoretic sequences
Year: 2022
Type: preprint
Abstract: Certain triples of power series, considered by I. Macdonald, give a natural framework for many combinatorial and number theoretic sequences, such as the Stirling, Bernoulli and harmonic numbers and partitions of different kinds. The power series in such a triple are closely linked by identities coming from the theory of symmetric functions. We extend the work of Z-H. Sun, who developed similar ideas, and Macdonald, revealing more of the structure of these triples. De Moivre polynomials play a key role in this study.
Source: arXiv (Cornell University)
Author: O'Sullivan, Cormac
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: City University of New York
OpenAlex ID: W4221163792