Fibonacci polynomials, generalized Stirling numbers, and Bernoulli, Genocchi and tangent numbers
Combinatorics
2011-03-15 v1 Number Theory
Abstract
We study matrices which transform the sequence of Fibonacci or Lucas polynomials with even index to those with odd index and vice versa. They turn out to be intimately related to generalized Stirling numbers and to Bernoulli, Genocchi and tangent numbers and give rise to various identities between these numbers. There is also a close connection with the Akiyama-Tanigawa algorithm.
Keywords
Cite
@article{arxiv.1103.2610,
title = {Fibonacci polynomials, generalized Stirling numbers, and Bernoulli, Genocchi and tangent numbers},
author = {Johann Cigler},
journal= {arXiv preprint arXiv:1103.2610},
year = {2011}
}
Comments
45 pages