&ITp&IT-Bernoulli and geometric polynomials
INTERNATIONAL JOURNAL OF NUMBER THEORY, cilt.14, sa.2, ss.595-613, 2018 (SCI-Expanded, Scopus)
- 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.