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

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.