A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS

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Kurt V., CENKCİ M.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.47, no.3, pp.575-583, 2010 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 47 Issue: 3
  • Publication Date: 2010
  • Doi Number: 10.4134/bkms.2010.47.3.575
  • Journal Name: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.575-583
  • Keywords: q-exponential functions, q-Genocchi numbers and polynomials, q-Bernoulli numbers and polynomials, EULER NUMBERS, BERNOULLI
  • Open Archive Collection: AVESIS Open Access Collection
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, new q-analogs of Genocchi numbers and polynomials are defined. Some important arithmetic and combinatoric relations are given, in particular, connections with q-Bernoulli numbers and polynomials are obtained.