An invariant p-adic q-integral associated with q-Euler numbers and polynomials

Canguel I. N., Kurt V., ŞİMŞEK Y., Pak H. K., Rim S.

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, cilt.14, sa.1, ss.8-14, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.2991/jnmp.2007.14.1.2
  • Dergi Adı: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.8-14
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to consider q-Euler numbers and polynomials which are q-extensions of ordinary Euler numbers and polynomials by the computations of the p-adic q-integrals due to T. Kim, cf. [1, 3, 6, 12], and to derive the "complete sums for q-Euler polynomials" which are evaluated by using multivariate p-adic q-integrals. These sums help us to study the relationships between p-adic q-integrals and non-archimedean combinatorial analysis.