Problem 55335. Generate Bernoulli polynomials

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

60.0% Correct | 40.0% Incorrect
Last Solution submitted on Sep 27, 2025

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers8

Suggested Problems

More from this Author316

Community Treasure Hunt

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

Start Hunting!