&ITp&IT-Bernoulli and geometric polynomials

KARGIN L.

INTERNATIONAL JOURNAL OF NUMBER THEORY, cilt.14, sa.2, ss.595-613, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1142/s1793042118500665
  • Dergi Adı: INTERNATIONAL JOURNAL OF NUMBER THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.595-613
  • Anahtar Kelimeler: p-Bernoulli polynomial, geometric polynomial, finite summation, Bernoulli polynomial, poly-Bernoulli polynomial, NUMBERS, FORMULAS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

We relate geometric polynomials and p-Bernoulli polynomials with an integral representation, then obtain several properties of p-Bernoulli polynomials. These results yield new identities for Bernoulli numbers. Moreover, we evaluate a Faulhaber-type summation in terms of p-Bernoulli polynomials. Finally, we introduce poly-p-Bernoulli polynomials and numbers, then study some arithmetical and number theoretical properties of them.