q-Analogue of twisted l-series and q-twisted Euler
JOURNAL OF NUMBER THEORY, cilt.110, sa.2, ss.267-278, 2005 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 110 Sayı: 2
- Basım Tarihi: 2005
- Doi Numarası: 10.1016/j.jnt.2004.07.003
- Dergi Adı: JOURNAL OF NUMBER THEORY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.267-278
- Anahtar Kelimeler: generalized Euler numbers, q-Euler numbers, twisted q-generalized Euler numbers, lq-series, Q-BERNOULLI NUMBERS
- Akdeniz Üniversitesi Adresli: Hayır
Özet
We define generating functions of q-generalized Euler numbers and polynomials and twisted q-generalized Euler numbers and polynomials. By using these functions, we give some properties of these numbers. We construct a complex twisted l(q)-functions which interpolate twisted q-generalized Euler numbers. As an application, we obtain the values of twisted l(q)-functions at non-positive integers. Therefore, we find a relation between twisted l(q)-functions and twisted q-generalized numbers explicitly. (C) 2004 Elsevier Inc. All rights reserved.