Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers

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Qi F., Daǧll M. C., Lim D.

Open Mathematics, cilt.19, sa.1, ss.833-849, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1515/math-2021-0079
  • Dergi Adı: Open Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.833-849
  • Anahtar Kelimeler: Bell polynomial of the second kind, Cauchy number, degenerate Cauchy number, explicit formula, Faà di Bruno formula, generating function, Narumi number, Narumi polynomial
  • Akdeniz Üniversitesi Adresli: Evet

Özet

© 2021 Feng Qi et al., published by De Gruyter 2021.In this paper, with the aid of the Faà di Bruno formula and by virtue of properties of the Bell polynomials of the second kind, the authors define a kind of notion of degenerate Narumi numbers and polynomials, establish explicit formulas for degenerate Narumi numbers and polynomials, and derive explicit formulas for the Narumi numbers and polynomials and for (degenerate) Cauchy numbers.