Some families of generating functions for the multiple orthogonal polynomials associated with modified Bessel K-functions

The main object of this paper is to derive several substantially more general families of bilinear, bilateral, and mixed multilateral finite-series relationships and generating functions for the multiple orthogonal polynomials associated with the modified Bessel K-functions also known as Macdonald functions. Some special cases of the above statements are also given.  2004 Published by Elsevier Inc.