Vieta-Pell and Vieta-Pell-Lucas polynomials

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TAŞCI D., Yalcin F.

ADVANCES IN DIFFERENCE EQUATIONS, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2013
  • Doi Number: 10.1186/1687-1847-2013-224
  • Journal Name: ADVANCES IN DIFFERENCE EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Vieta-Pell, Vieta-Pell-Lucas polynomials
  • Gazi University Affiliated: Yes

Abstract

In the present paper, we introduce the recurrence relation of Vieta-Pell and Vieta-Pell-Lucas polynomials. We obtain the Binet form and generating functions of Vieta-Pell and Vieta-Pell-Lucas polynomials and define their associated sequences. Moreover, we present some differentiation rules and finite summation formulas.