Bernoulli polynomials

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What Wikipedia says

In mathematics, the Bernoulli polynomials, named after Jacob Bernoulli, combine the Bernoulli numbers and binomial coefficients. They are used for series expansion of functions, and with the Euler–MacLaurin formula.

Excerpt from the Wikipedia article “Bernoulli polynomials”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

Image: Original artwork by Linas Vepstas <[email protected]>. Title removed by User:Mr. Granger., CC BY-SA 3.0, via Wikimedia Commons.