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

Ozarslan, MA; Altin, A

doi:10.1016/j.jmaa.2004.04.054

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

Ozarslan M., Altin A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.297, no.1, pp.186-193, 2004 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 297 Issue: 1
Publication Date: 2004
Doi Number: 10.1016/j.jmaa.2004.04.054
Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.186-193
Keywords: Macdonald function, multiple orthogonal polynomial, Rodrigues formula, generating function, finite-series relationship
Ankara University Affiliated: No

Abstract

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. (C) 2004 Published by Elsevier Inc.