Generalized Vieta-Jacobsthal and Vieta-Jacobsthal-Lucas polynomials

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

MATHEMATICAL COMMUNICATIONS, vol.20, no.2, pp.241-251, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 2
  • Publication Date: 2015
  • Journal Name: MATHEMATICAL COMMUNICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.241-251
  • Keywords: generalized Vieta-Jacobsthal, generalized Vieta-Jacobsthal-Lucas polynomials, Vieta polynomials, multilinear and multilateral generating functions
  • Gazi University Affiliated: Yes

Abstract

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.