Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials

Özkan E., Uysal M., Kuloǧlu B.

Asian-European Journal of Mathematics, cilt.15, sa.6, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 6
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s1793557122501194
  • Dergi Adı: Asian-European Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Binet formula, generating function, h(x)-Jacobsthal polynomials, incomplete h(x)- Jacobsthal polynomials, Hankel transform
  • Marmara Üniversitesi Adresli: Hayır

Özet

© 2022 World Scientific Publishing Company.We introduce the Catalan transform of the Incomplete Jacobsthal numbers. We apply the Hankel transform to the Catalan transforms of these numbers. We calculate determinants of matrixes formed with CJk,nlby using Hankel transform. Then we define the incomplete h(x)-Jacobsthal polynomials. Then we examine the recurrence relation and some properties of these polynomials.