
arXiv: math/0502333
By using p-adic q-integrals, we study the q-Bernoulli numbers and polynomials of higher order.
8 pages
reflection symmetries, Mathematics - Number Theory, Bayes' multiple Bernoulli polynomials, \(q\)-Volkenborn integration, 11B68, 11S40, Basic hypergeometric functions in one variable, \({}_r\phi_s\), construction of a \(q\)-Bernoulli polynomials, \(q\)-calculus and related topics, FOS: Mathematics, Number Theory (math.NT), Bernoulli and Euler numbers and polynomials, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
reflection symmetries, Mathematics - Number Theory, Bayes' multiple Bernoulli polynomials, \(q\)-Volkenborn integration, 11B68, 11S40, Basic hypergeometric functions in one variable, \({}_r\phi_s\), construction of a \(q\)-Bernoulli polynomials, \(q\)-calculus and related topics, FOS: Mathematics, Number Theory (math.NT), Bernoulli and Euler numbers and polynomials, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
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