Some new results for the multivariable Humbert polynomials

AKTAŞ R.

MATHEMATICA SLOVACA, cilt.64, sa.6, ss.1437-1450, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 6
  • Basım Tarihi: 2014
  • Doi Numarası: 10.2478/s12175-014-0285-8
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1437-1450
  • Anahtar Kelimeler: Humbert polynomials, Chan-Chyan-Srivastava multivariable polynomials, Lagrange-Hermite multivariable polynomials, Erkus-Srivastava multivariable polynomials, integral representation, recurrence relation, LAGRANGE POLYNOMIALS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we present some miscellaneous properties of the multivariable Humbert polynomials whose special cases include some well-known multivariable polynomials such as Chan-Chyan-Srivastava, Lagrange-Hermite and Erkus-Srivastava multivariable polynomials. We give recurrence relations, addition formula and integral representation for them. Then, we obtain some partial differential equations for the products of the multivariable Humbert polynomials and some other multivariable polynomials. Furthermore, some special cases of the results presented in this study are also indicated.