Difference between revisions of "Bernoulli B"
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Bernoulli polynomials $B_n$ are [[orthogonal polynomials]] defined by the formula | Bernoulli polynomials $B_n$ are [[orthogonal polynomials]] defined by the formula | ||
$$\dfrac{te^{xt}}{e^t-1} = \displaystyle\sum_{k=0}^{\infty} \dfrac{B_n(x) t^n}{n!}.$$ | $$\dfrac{te^{xt}}{e^t-1} = \displaystyle\sum_{k=0}^{\infty} \dfrac{B_n(x) t^n}{n!}.$$ | ||
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Revision as of 21:54, 22 March 2015
Bernoulli polynomials $B_n$ are orthogonal polynomials defined by the formula $$\dfrac{te^{xt}}{e^t-1} = \displaystyle\sum_{k=0}^{\infty} \dfrac{B_n(x) t^n}{n!}.$$
