The Laguerre polynomials in several variables

AKTAŞ R., DUMAN E.

MATHEMATICA SLOVACA, cilt.63, sa.3, ss.531-544, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.2478/s12175-013-0116-3
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.531-544
  • Anahtar Kelimeler: generating function, hypergeometric function, multivariable Laguerre polynomials, multilinear and multilateral generating functions, MULTIVARIABLE EXTENSION
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we give some relations between multivariable Laguerre polynomials and other well-known multivariable polynomials. We get various families of multilinear and multilateral generating functions for these polynomials. Some special cases are also presented.