New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, cilt.14, sa.1, ss.44-56, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 1
- Basım Tarihi: 2007
- Doi Numarası: 10.2991/jnmp.2007.14.1.5
- Dergi Adı: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.44-56
- Akdeniz Üniversitesi Adresli: Evet
Özet
In this paper, by using q-Volkenborn integral[10], the first author[25] constructed new generating functions of the new twisted (h,q)-Bernoulli polynomials and numbers. We define higher-order twisted (h,q)-Bernoulli polynomials and numbers. Using these numbers and polynomials, we obtain new approach to the complete sums of products of twisted (h,q)-Bernoulli polynomials and numbers. p-adic q-Volkenborn integral is used to evaluate summations of the following form: