A CLASS OF MULTIVARIABLE POLYNOMIALS ASSOCIATED WITH HUMBERT POLYNOMIALS

AKTAŞ R., Altin A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.42, sa.4, ss.359-372, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 4
  • Basım Tarihi: 2013
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.359-372
  • Anahtar Kelimeler: Humbert polynomials, Chan-Chyan-Srivastava multivariable polynomials, Lagrange-Hermite multivariable polynomials, Erkus-Srivastava multivariable polynomials, Multilinear and multilateral generating function, Recurrence relation, Hypergeometric function, LAGRANGE POLYNOMIALS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we present a generalization (and unification) of a class of Humbert polynomials which include well known families of Chan-Chyan-Srivastava, Lagrange-Hermite and Erkus-Srivastava multivariable polynomials. We derive various families of multilateral and multilinear generating functions for these polynomials. We also obtain other miscellaneous properties of these polynomials. Furthermore, for some special cases of these polynomials, we present hypergeometric representations and give expansions of these polynomials in series of some orthogonal polynomials.