Inverse Relations in Shapiro's Open Questions
Combinatorics
2017-07-21 v1
Abstract
As an inverse relation, involution with an invariant sequence plays a key role in combinatorics and features prominently in some of Shapiro's open questions [L.W. Shapiro, Some open questions about random walks, involutions, limiting distributions and generating functions, Adv. Appl. Math. 27 (2001) 585-596]. In this paper, invariant sequences are used to provide answers to some of these questions about the Fibonacci matrix and Riordan involutions.
Cite
@article{arxiv.1707.06590,
title = {Inverse Relations in Shapiro's Open Questions},
author = {Ik-Pyo Kim and Michael J. Tsatsomeros},
journal= {arXiv preprint arXiv:1707.06590},
year = {2017}
}
Comments
16 pages