Miscellaneous properties of some multivariable polynomials

DUMAN E., Altin A., AKTAŞ R.

MATHEMATICAL AND COMPUTER MODELLING, cilt.54, sa.9-10, ss.1875-1885, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 9-10
  • 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
  • Anahtar Kelimeler: Chan-Chyan-Srivastava multivariable polynomials, Lagrange-Hermite multivariable polynomials, Erkus-Srivastava multivariable polynomials, Extended Jacobi polynomials, Integral representation, Recurrence relation, LAGRANGE POLYNOMIALS, EXTENSION, FAMILIES, JACOBI
  • Ankara 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.