Combinatorial properties of irreducible Laguerre polynomials in two variables
Classical Analysis and ODEs
2020-08-18 v1
Abstract
Following our earlier work, where doubly indexed and irreducible over Q two-variable Laguerre polynomials were introduced, we prove for such polynomials some recurrence formulas and obtain a generating function. In addition, we show how certain sums of such polynomials with a fixed total degree relate to some standard polynomials.
Keywords
Cite
@article{arxiv.2008.06750,
title = {Combinatorial properties of irreducible Laguerre polynomials in two variables},
author = {Nikolai A. Krylov},
journal= {arXiv preprint arXiv:2008.06750},
year = {2020}
}
Comments
11 pages