The Bernoulli polynomial B_n(x) is a polynomial of order n with the properties that B_0(x) = 1 and for n > 0
B'_n(x) = n B_{n-1}(x),
where the prime denotes differentiation with respect to x, and
Integral[B_n(x),{x,0,1}] = 0.
Therefore, B_1(x) = x-1/2, B_2(x) = x^2 – x + 1/6, B_3(x) = x^3 – 3 x^2/2 + x/2, etc. Notice that B_n(0) is the nth Bernoulli number.
Write a function to generate the Bernoulli polynomial of order n. Use MATLAB's approach for specifying the coefficients. For example, the function should return [1 -1/2] for n = 1 and [1 -1 1/6] for n = 2.
Solve

Solution Stats

18 Solutions

11 Solvers

Last Solution submitted on Jul 24, 2026

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers11

Chris Cleveland George Berken Dyuman Joshi Lorenzo

Suggested Problems

More from this Author330

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!