GENERATING FUNCTIONS FOR THE GENERALIZED BIVARIATE FIBONACCI AND LUCAS POLYNOMIALS

Erkus-Duman E., TUĞLU N.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.18, sa.5, ss.815-821, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 5
  • Basım Tarihi: 2015
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.815-821
  • Gazi Üniversitesi Adresli: Evet

Özet

The main object of this study is to derive various families of multilinear and multilateral generating functions for the generalized bivariate Fibonacci and Lucas polynomials. Furthermore, we discuss some critical connections between the generalized bivariate Fibonacci, Lucas polynomials and the well-known polynomials and numbers, such as, bivariate and univariate Fibonacci and Lucas polynomials, the classical Fibonacci and Lucas numbers, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas and also the first and second kind Chebyshev polynomials.