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

Kızılateş C., Tuğlu N., Çekim B.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3390/math7020136
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: (p, q)-Chebyshev polynomials, (p, q)-Fibonacci polynomials, multilateral generating functions, multilinear generating functions, GENERATING-FUNCTIONS, FIBONACCI
  • Gazi Üniversitesi Adresli: Evet

Özet

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.