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, cilt.297, sa.1, ss.186-193, 2004 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 297 Sayı: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.jmaa.2004.04.054
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.186-193
  • Anahtar Kelimeler: Macdonald function, multiple orthogonal polynomial, Rodrigues formula, generating function, finite-series relationship
  • Ankara Üniversitesi Adresli: Hayır

Özet

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.