Multiple orthogonal polynomials associated with Macdonald functions

Details Multiple orthogonal polynomials associated with Macdonald functions Multiple orthogonal polynomials associated with Macdonald functions

2001-01-23

arxiv.org/abs/math/0101188v1

Integral Transforms and Special Functions 9 (2000), 229-244

Mathematics

Classical Analysis and ODEs

13 pages

Scientific paper

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.

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