Recurrences and Congruences for Higher-Order Geometric Polynomials and Related Numbers


KARGIN L., CENKCİ M.

Ukrainian Mathematical Journal, cilt.73, sa.12, ss.1873-1894, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Sayı: 12
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s11253-022-02035-z
  • 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 and, in particular, for p-Bernoulli numbers.