q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
Abstract
A purpose of this paper is to present a systemic study of some families of multiple q-Bernoulli numbers and polynomials by using the multivariate q-Volkenborn integral (= p-adic q-integral) on &Z; p . Moreover, the study of these higher-order q-Bernoulli numbers and polynomials implies some interesting q-analogs of Stirling number identities.
- Publication:
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Russian Journal of Mathematical Physics
- Pub Date:
- March 2008
- DOI:
- 10.1134/S1061920808010068
- Bibcode:
- 2008RJMP...15...51K