BIGAUSSIAN PELL AND PELL-LUCAS POLYNOMIALS

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ÖZKAN E., Alp T.

Mathematica Montisnigri, cilt.53, ss.17-25, 2022 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53
  • Basım Tarihi: 2022
  • Doi Numarası: 10.20948/mathmontis-2022-53-3
  • Dergi Adı: Mathematica Montisnigri
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.17-25
  • Anahtar Kelimeler: BiGaussian Polynomials, Catalan’s identity, Generating functions, Pell and Pell-Lucas polynomials
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Marmara Üniversitesi Adresli: Hayır

Özet

In this paper, we define biGaussian Pell and Pell-Lucas Polynomials. We give Binet‘s formulas, generating functions, Catalan’s identities, Cassini’s identities for these polynomials. Matrix presentations of biGaussian Pell and Pell-Lucas polynomials are found. Also, NegabiGaussian Pell and Pell-Lucas Polynomials are defined. Finally, we give some properties for these polynomials.