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variants of this functions
BernoulliB




Mathematica Notation

Traditional Notation









Polynomials > BernoulliB[n,z] > Integral transforms > Fourier cos transforms





http://functions.wolfram.com/05.14.22.0003.01









  


  








Input Form





FourierCosTransform[BernoulliB[n, t], t, x] == Sqrt[2 Pi] Sum[(-1)^k Binomial[n, 2 k] BernoulliB[n - 2 k] Derivative[2 k][DiracDelta][x], {k, 0, Floor[n/2]}] - Sqrt[2/Pi] Sum[Binomial[n, 2 k + 1] BernoulliB[n - 2 k - 1] (((-1)^k (2 k + 1)!)/x^(2 k + 2)), {k, 0, Floor[n/2]}]








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29