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Bernoulli polynomials
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===Generating functions=== The generating function for the Bernoulli polynomials is <math display="block">\frac{t e^{xt}}{e^t-1}= \sum_{n=0}^\infty B_n(x) \frac{t^n}{n!}.</math> The generating function for the Euler polynomials is <math display="block">\frac{2 e^{xt}}{e^t+1}= \sum_{n=0}^\infty E_n(x) \frac{t^n}{n!}.</math>
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