伯努利功率系列软件

Function converts an ordinary power series into a power series of weighted Bernoulli polynomials, or vice versa.

软件应用简介

Forward: Function input c is the ordinary coefficient vector, real-valued . Function output d is the Bernoulli coefficient vector, real-valued. Use row vectors.

d = bernoulli_power_series(c)

Quick explanation

Define an ordinary power series, where c_k | k=0,1,2… denotes the ordinary coefficient vector

y(x) = c_0 + xc_1 + x^2c_2…

Define a Bernoulli power series , where d_k | k=0,1,2… denotes the Bernoulli coefficient vector

y(x) = B_0(x)d_0 + B_1(x)d_1 + B_2(x)d_2…

Function input is the finite ordinary coefficient vector c_k | k=0,1,2…K and function output is equal-length Bernoulli coefficient vector d_k | k=0,1,2…K

界面展示

结果示意

规格 价