Determinants containing powers of polynomial sequences
Combinatorics
2018-06-28 v1
Abstract
We derive identities for the determinants of matrices whose entries are (rising) powers of (products of) polynomials that satisfy a recurrence relation. In particular, these results cover the cases for Fibonacci polynomials, Lucas polynomials and certain orthogonal polynomials. These identities naturally generalize the determinant identities obtained by Alfred, Carlitz, Prodinger, Tangboonduangjit and Thanatipanonda.
Cite
@article{arxiv.1806.10304,
title = {Determinants containing powers of polynomial sequences},
author = {Ho-Hon Leung},
journal= {arXiv preprint arXiv:1806.10304},
year = {2018}
}
Comments
12 pages