d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations

Creative Commons License

ÖZKAN E., UYSAL M.

Turkish Journal of Mathematics and Computer Science, cilt.14, sa.2, ss.262-270, 2022 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.47000/tjmcs.1007382
  • Dergi Adı: Turkish Journal of Mathematics and Computer Science
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.262-270
  • Anahtar Kelimeler: Binet formula, d-Gaussian Pell-Lucas polynomial, d-Gaussian PellLucas polynomial matrix, generating function, Riordan matrix
  • Marmara Üniversitesi Adresli: Evet

Özet

We define a new generalization of Gaussian Pell-Lucas polynomials. We call it d−Gaussian Pell-Lucas polynomials. Then we present the generating function and Binet formula for the polynomials. We give a matrix representation of d−Gaussian Pell-Lucas polynomials. Using the Riordan method, we obtain the factorizations of Pascal matrix involving the polynomials.