Miscellaneous properties of some multivariable polynomials

Erkus-Duman E., ALTIN A., AKTAŞ R.

MATHEMATICAL AND COMPUTER MODELLING, cilt.54, ss.1875-1885, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.mcm.2011.04.010
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1875-1885
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we present various integral representations for the Chan-Chyan-Srivastava, Lagrange-Hermite, Erkus-Srivastava multivariable polynomials and extended Jacobi polynomials. Then, we obtain some partial differential equations for the product of any two of them. We show that the Chan-Chyan-Srivastava multivariable polynomials are not orthogonal. We also discuss other miscellaneous properties of the Chan-Chyan-Srivastava, Lagrange-Hermite and Erkus-Srivastava multivariable polynomials. (C) 2011 Elsevier Ltd. All rights reserved.