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) identifier identifier

  • 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.