Recurrences and congruences for higher order geometric polynomials and related numbers

Kargın L., Cenkci M.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.73, sa.12, ss.1873-1894, 2022 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Sayı: 12
  • Basım Tarihi: 2022
  • Doi Numarası: 10.37863/umzh.v73i12.1080
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1873-1894
  • Akdeniz Üniversitesi Adresli: Evet

Özet

We obtain new recurrence relations, an explicit formula, and convolution identities for higher order geometric polynomials. These relations generalize known results for geometric polynomials, and lead to congruences for higher order geometric polynomials, particularly for p" role="presentation" >p-Bernoulli numbers.