Generating Functions For Two-Variable Polynomials Related To a Family of Fibonacci Type Polynomials and Numbers

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OZDEMIR G., ŞİMŞEK Y.

FILOMAT, cilt.30, sa.4, ss.969-975, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1604969o
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.969-975
  • Anahtar Kelimeler: Fibonacci numbers, Fibonacci polynomials, Jacobsthal polynomials, Chebyshev polynomials, Vieta-Fibonacci polynomials, Vieta-Lucas polynomials, Humbert polynomials, Geganbauer polynomials, generating functions
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to construct generating functions for the family of the Fibonacci and Jacobsthal polynomials. Using these generating functions and their functional equations, we investigate some properties of these polynomials. We also give relationships between the Fibonacci, Jacobsthal, Chebyshev polynomials and the other well known polynomials. Finally, we give some infinite series applications related to these polynomials and their generating functions.