q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
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- 1 March 2008
- journal article
- Published by Pleiades Publishing Ltd in Russian Journal of Mathematical Physics
- Vol. 15 (1) , 51-57
- https://doi.org/10.1134/s1061920808010068
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.Keywords
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