This paper aims to show new algebraic properties from the q -generalized Bernoulli polynomials Bnm-1(x;q)B_n^{m - 1}(x;q) of level m , as well as some others identities which connect this polynomial class with the q -generalized Bernoulli polynomials of level m , as well as the q -gamma function, and the q -Stirling numbers of the second kind and the q -Bernstein polynomials.
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