On the (p, q)-Chebyshev Polynomials and Related Polynomials


Kızılateş C., Tuğlu N., Çekim B.

MATHEMATICS, vol.7, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 7
  • Publication Date: 2019
  • Doi Number: 10.3390/math7020136
  • Journal Name: MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: (p, q)-Chebyshev polynomials, (p, q)-Fibonacci polynomials, multilateral generating functions, multilinear generating functions, GENERATING-FUNCTIONS, FIBONACCI
  • Gazi University Affiliated: Yes

Abstract

In this paper, we introduce (p, q) -Chebyshev polynomials of the first and second kind that reduces the (p, q)-Fibonacci and the (p, q)-Lucas polynomials. These polynomials have explicit forms and generating functions are given. Then, derivative properties between these first and second kind polynomials, determinant representations, multilateral and multilinear generating functions are derived.