Oresme Polynomials and Their Derivatives
Combinatorics
2019-04-03 v1
Abstract
We study the problem of generalization of Oresme numbers with a new sequence of numbers called Oresme polynomials. Moreover, by using the matrix methods for Oresme polynomials, we obtain the identities including the general bilinear index-reduction formula of these numbers. Further, Oresme polynomials that are natural extensions of the -Oresme numbers are introduced and some relations for the derivatives of these polynomials in the form of convolution are proved.
Cite
@article{arxiv.1904.01165,
title = {Oresme Polynomials and Their Derivatives},
author = {Gamaliel Cerda-Morales},
journal= {arXiv preprint arXiv:1904.01165},
year = {2019}
}