1) generalized n-th-order Bernoulli polynomial
广义n阶Bernoulli多项式
2) 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。
3) polynom ials
广义m阶Euler-Bernoulli多项式
4) the generalized Bernoulli polynomials
广义Bernoulli多项式
5) 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。
6) 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。
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。