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variants of this functions
BernoulliB






Mathematica Notation

Traditional Notation









Integer Functions > BernoulliB[n] > Identities > Functional identities





http://functions.wolfram.com/04.13.17.0003.01









  


  










Input Form





Sum[(k + n + 1) Binomial[m + 1, k] BernoulliB[k + n], {k, 0, m}] == (-1)^(m + n - 1) Sum[(k + m + 1) Binomial[n + 1, k] BernoulliB[k + m], {k, 0, n}] /; Element[m, Integers] && m > 0 && Element[n, Integers] && n > 0 && m + n > 0










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