Generating functions of the (h, q) extension of twisted Euler polynomials and numbers

CANGÜL İ. T., Ozden H., ŞİMŞEK Y.

ACTA MATHEMATICA HUNGARICA, cilt.120, sa.3, ss.281-299, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 120 Sayı: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10474-008-7139-1
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.281-299
  • Anahtar Kelimeler: p-adic yolkenborn integral, twisted q-Euler numbers and polynomials, zeta and 1-functions, ADIC Q-INTEGRALS, Q-BERNOULLI POLYNOMIALS, Q-ZETA FUNCTIONS, Q)-BERNOULLI NUMBERS, L-SERIES, (H
  • Akdeniz Üniversitesi Adresli: Evet

Özet

By using p-adic q-deformed fermionic integral on Z(p), we construct new generating functions of the twisted (h, q)-Euler numbers and polynomials attached to a Dirichlet character x. By applying Mellin transformation and derivative operator to these functions; we define twisted (h, q)-extension of zeta functions and 1-functions, which interpolate the twisted (h, q)-extension of Euler numbers at negative integers. Moreover, we construct the partially twisted (h, q)-zeta function. We give some relations between the partially twisted (h, q)-zeta function and twisted (h, q)-extension of Euler numbers.