Multiple Two-Variable p-Adic q-L-Function and Its Behavior at s=0

CENKCİ M., ŞİMŞEK Y., Kurt V.

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, cilt.15, sa.4, ss.447-459, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 4
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1134/s106192080804002x
  • Dergi Adı: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.447-459
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The objective of this paper is to construct a multiple p-adic q-L-function of two variables which interpolates multiple generalized q-Bernoulli polynomials. By using this function, we solve a question of Kim and Cho. We also de. ne a multiple partial q-zeta function which is related to the multiple q-L-function of two variables. Finally, we give a finite-sum representation of the multiple p-adic q-L-function of two variables and prove a multiple q-extension of the generalized formula of Diamond and Ferrero-Greenberg.