1) the generalized Apostol-Bernoulli polynomials
广义Apostol-Bernoulli多项式
1.
In the second chapter,we give several symmetric identities on the generalized Apostol-Bernoulli polynomials by applying the generating functions.
第二章,应用生成函数,得到若干关于广义Apostol-Bernoulli多项式的对称恒等式,这些结果推广了一些已知的恒等式。
2) Apostol-Bernoulli polynomials
Apostol-Bernoulli多项式
1.
Apostol-Bernoulli polynomials and Hurwitz Zeta function;
Apostol-Bernoulli多项式和Hurwitz Zeta函数
2.
In the present paper,we obtain a new formulas of the Apostol-Bernoulli polynomials,which denote using the Gaussian hypergeometric functions,and give certain special cases and applications.
我们得到Apostol-Bernoulli多项式的一个用Gauss超几何函数表示的新公式,并给出了它的一些特殊情况和应用。
3) higher order Apostol-Bernoulli polynomials
高阶Apostol-Bernoulli多项式
1.
In this paper,the definition of the higher order Apostol-Euler polynomials and the higher order Apostol-Bernoulli polynomials is created.
给出高阶Apostol-Euler多项式与高阶Apostol-Bernoulli多项式的定义,研究各自性质及二者之间的关系,同时利用Stirling数给出这两类多项式的计算公式,推广了文献[5-6]的结果。
2.
By using the method of generating function and the technique of calculating,several identity involving higher order Apostol-Bernoulli polynomials and stirling numbers are established,and computational formulas of higher order Apostol-Bernoulli polynomials and high order Apostol-Bernoulli numbers are given.
使用发生函数方法和计算技巧,建立起高阶Apostol-Bernoulli多项式与第1类Stirling数之间的恒等式,得到关于高阶Apostol-Bernoulli多项式、高阶Apostol-Bernoulli数等的计算公式。
4) the generalized Bernoulli polynomials
广义Bernoulli多项式
5) generalized Bernoulli polynomials of higher order
广义高阶Bernoulli多项式
1.
In this paper,we apply the generating function method to obtain some relationships between generalized Bernoulli polynomials of higher order and Euler polynomials of higher order,therefore we deduce some corresponding special cases.
利用发生函数的方法得到了广义高阶Bernoulli多项式和广义高阶Euler多项式之间的关系,并由此得到了一些特殊情况包括高阶Bernoulli多项式和高阶Euler多项式之间的关系。
6) polynom ials
广义m阶Euler-Bernoulli多项式
补充资料：广义
范围较宽的定义（跟‘狭义’相对）：～的杂文也可以包括小品文在内。
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