1) generalized Bernoulli polynomial
推广的Bernoulli多项式
2) the generalized degenerate Bernoulli polynomials
广义退化的Bernoulli多项式
1.
In the third chapter,we prove two general symmetric identities involving the generalized degenerate Bernoulli polynomials and sums of generalized falling factorials by applying their generating functions,these results extend some known identities,and give an relationship of the generalized degenerate Bernoulli polynomials.
第三章,利用广义退化的Bernoulli多项式以及广义阶乘求和的生成函数,证明了两个对称恒等式,推广了一些已知的结论,并得到广义退化的Bernoulli多项式的一个闭形式。
3) the generalized Bernoulli polynomials
广义Bernoulli多项式
4) 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。
5) Bernoulli polynomials
Bernoulli多项式
1.
Apostol-Bernoulli polynomials and Hurwitz Zeta function;
Apostol-Bernoulli多项式和Hurwitz Zeta函数
2.
Sum product involving Bernoulli polynomials and Euler polynomials;
一类包含Bernoulli多项式与Euler多项式的积的和
3.
The Bernoulli numbers of higher order and Bernoulli polynomials of higher order;
高阶Bernoulli数和高阶Bernoulli多项式
6) Bernoulli polynomial
Bernoulli多项式
1.
Relationship between Bernoulli polynomial and power sum polynomial;
Bernoulli多项式与幂和多项式的关系
2.
Some relations between Bernoulli polynomial and Eurler polynomial;
几个Bernoulli多项式和Euler多项式的关系式
3.
In this paper,the Akiyama-Tanigawa algorithm for Bernoulli polynomials and Euler polynomials was investigated,a new kind of closed formulae for Bernoulli polynomials and Euler polynomials are given via Stirling numbers.
研究Bernoulli多项式和Euler多项式的Akiyama-Tanigawa算法,利用Stirling数分别给出它们的一类新的封闭计算公式。
补充资料：多项式乘多项式法则
Image:1173836820929048.jpg
多项式乘多项式法则
先用一个多项式的每一项乘以另一个多项式的每一项，再把所得的积相加。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。