An analogue of eulerian polynomials related to L-type function

Araci S., Acikgoz M., Corcino R. B., Özel C.

Maejo International Journal of Science and Technology, cilt.9, sa.2, ss.246-254, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 2
  • Basım Tarihi: 2015
  • Dergi Adı: Maejo International Journal of Science and Technology
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.246-254
  • Anahtar Kelimeler: p-adic fermionic q-integral on Z(p), Eulerian polynomials, contour integral, L-function, Dirichlet character, HIGHER-ORDER, Q-EXTENSION, IDENTITIES, BERNOULLI, NUMBERS, INTEGRALS
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

© 2015 by Maejo University, San Sai, Chiang Mai, 50290 Thailand.We introduce Dirichlet's type of twisted Eulerian polynomials by using p-adic fermionic g-invairant integral in the p-adic integer ring and obtain some new interesting identities. Using a complex contour integral representation based on the generating function of Dirichlet's type of twisted Eulerian polynomials, we get L-type function which interpolates for Dirichlet's type of Eulerian polynomials at negative integers.