q-extensions of Genocchi numbers

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Cenkci M., Can M., Kurt V.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.43, sa.1, ss.183-198, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.4134/jkms.2006.43.1.183
  • Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.183-198
  • Anahtar Kelimeler: q-Genocchi numbers, p-adic measures, p-adic integral, Kummer congruences, BERNOULLI NUMBERS, Q-EULER, INTEGRALS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper q-extensions of Genocchi numbers are defined and several properties of these numbers are presented. Properties of q-Genocchi numbers and polynomials are used to construct q-extensions of p-adic measures which yield to obtain p-adic interpolation functions for q-Genocchi numbers. As an application, general systems of congruences, including Kummer-type congruences for q-Genocchi numbers are proved.