Multiple orthogonal polynomials associated with Macdonald functions
Classical Analysis and ODEs
2013-10-16 v1
Abstract
We consider multiple orthogonal polynomials corresponding to two Macdonald functions (modified Bessel functions of the second kind), with emphasis on the polynomials on the diagonal of the Hermite-Pad\'e table. We give some properties of these polynomials: differential properties, a Rodrigues type formula and explicit formulas for the third order linear recurrence relation.
Cite
@article{arxiv.math/0101188,
title = {Multiple orthogonal polynomials associated with Macdonald functions},
author = {W. Van Assche and S. B. Yakubovich},
journal= {arXiv preprint arXiv:math/0101188},
year = {2013}
}
Comments
13 pages