Poly-Bernoulli numbers and polynomials with a q parameter

CENKCİ M., Komatsu T.

JOURNAL OF NUMBER THEORY, cilt.152, ss.38-54, 2015 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 152
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.jnt.2014.12.004
  • Dergi Adı: JOURNAL OF NUMBER THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.38-54
  • Anahtar Kelimeler: Poly-Bernoulli and poly-Cauchy numbers and polynomials, Weighted Stirling numbers, A-Stirling numbers, Congruences, STIRLING NUMBERS, CAUCHY NUMBERS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

We define poly-Bernoulli numbers and polynomials with a q parameter. These numbers and polynomials show a correspondence to poly-Cauchy numbers and polynomials with a q parameter recently defined by the second author. We study some arithmetical and number theoretical properties of these numbers and polynomials as well. (C) 2015 Elsevier Inc. All rights reserved.