On a multivariable extension for the extended Jacobi polynomials

Altin, Abdullah; AKTAŞ, RABİA; Erkus-Duman, ESRA

doi:10.1016/j.jmaa.2008.11.070

On a multivariable extension for the extended Jacobi polynomials

Atıf İçin Kopyala

Altin A., AKTAŞ R., Erkus-Duman E.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.353, sa.1, ss.121-133, 2009 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 353 Sayı: 1
Basım Tarihi: 2009
Doi Numarası: 10.1016/j.jmaa.2008.11.070
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.121-133
Gazi Üniversitesi Adresli: Evet

Özet

The main object of this paper is to construct a systematic investigation of a multivariable extension of the extended Jacobi polynomials and give some relations for these polynomials. We derive various families of multilinear and multilateral generating functions. We also obtain relations between the polynomials extended Jacobi polynomials and some other well-known polynomials. Other miscellaneous properties of these general families of multivariable polynomials are also discussed. Furthermore, some special cases of the results are presented in this study. (C) 2008 Elsevier Inc. All rights reserved.