On a multivariable extension of the Humbert polynomials

AKTAŞ R., Sahin R., Altin A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.3, ss.662-666, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 218 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.amc.2011.01.082
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.662-666
  • Anahtar Kelimeler: Multilinear and mixed multilateral generating functions, Lagrange polynomials, Chan-Chyan-Srivastava multivariable polynomials, Lagrange-Hermite polynomials, Erkus-srivastava polynomials, Srivastava's theorem, Differential recurrence relations, LAGRANGE POLYNOMIALS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we present a multivariable extension of the Humbert polynomials, which is motivated by the Chan-Chyan-Srivastava multivariable polynomials, the multivariable extension of the familiar Lagrange-Hermite polynomials and Erkus-Srivastava multivariable polynomials. We derive various families of multilinear and mixed multilateral generating functions for these polynomials. Other miscellaneous properties of these multivariable polynomials are also discussed. Some special cases of the results presented in this study are also indicated. (C) 2011 Elsevier Inc. All rights reserved.