Multiple orthogonal polynomials associated with macdonald functions
Authors:
- 1 June 2000
- journal article
- research article
- Published by Taylor & Francis in Integral Transforms and Special Functions
- Vol. 9 (3) , 229-244
Abstract
We consider multiple orthogonal polynomials corresponding to two Macdonald functions (modified Bassel functions of the second kind), with emphasis on the polynomials on the diagonal of the Hermite-Padé table. We give some properties of these polynomials: differential properties, a Rodrigues type formula and explicit formulas for the third order linear recurrence relation.Keywords
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