New results on the q -generalized Bernoulli polynomials of level m

[摘要] This paper aims to show new algebraic properties from the q -generalized Bernoulli polynomials Bn[m-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.

[学科分类] 外科医学

[关键词] q-generalized Bernoulli polynomials;q-gamma function;q-Stirling numbers;q-Bernstein poly-nomials