On a class of determinants
Combinatorics
2009-07-08 v1 Commutative Algebra
Abstract
A class of determinants is introduced. Different kind of mathematical objects, such as Fibonacci, Lucas, Tchebychev, Hermite, Laguerre, Legendre polynomials, sums and covergents are represented as determinants from this class. A closed formula in which arbitrary term of a homogenous linear recurrence equation is expressed in terms of the initial conditions and the coefficients is proved.
Keywords
Cite
@article{arxiv.0907.1152,
title = {On a class of determinants},
author = {Milan Janjic},
journal= {arXiv preprint arXiv:0907.1152},
year = {2009}
}