Generalized Vieta-Jacobsthal and Vieta-Jacobsthal-Lucas polynomials

Yalcin N. F., TAŞCI D., Erkus-Duman E.

MATHEMATICAL COMMUNICATIONS, cilt.20, sa.2, ss.241-251, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 2
  • Basım Tarihi: 2015
  • Dergi Adı: MATHEMATICAL COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.241-251
  • Anahtar Kelimeler: generalized Vieta-Jacobsthal, generalized Vieta-Jacobsthal-Lucas polynomials, Vieta polynomials, multilinear and multilateral generating functions
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, generalized Vieta-Jacobsthal and Vieta-Jacobsthal-Lucas polynomials are introduced. The Binet form and some of their recursive features are given. Various families of multilinear and multilateral generating functions for these polynomials are derived. Furthermore, some special cases of the results are presented in this study.