Poly-p-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function

KARGIN L.

LITHUANIAN MATHEMATICAL JOURNAL, cilt.60, sa.1, ss.29-50, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s10986-019-09448-7
  • Dergi Adı: LITHUANIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, DIALNET
  • Sayfa Sayıları: ss.29-50
  • Anahtar Kelimeler: poly-Bernoulli polynomials and numbers, poly-p-Bernoulli polynomials and numbers, generalized Arakawa-Kaneko zeta function, CLOSED FORMULA, NUMBERS, SERIES, VALUES, SUMS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we first obtain several properties of poly-p-Bernoulli polynomials. In particular, we achieve some new results for poly-Bernoulli polynomials. We next define a generalization of the Arakawa-Kaneko zeta function associated with poly-p-Bernoulli polynomials, investigate some its particular values, and give asymptotic and series expansions.