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单词 Bernoulli polynomial
释义
Bernoulli polynomial

Mathematics
  • The nth Bernoulli polynomial is

    Bn(x)=k=0n(nk)Bk xnk,

    where Bk denotes the kth Bernoulli number. The formulae for sums of powers of natural numbers then read as

    k=1nkm=Bm+1(n+1)Bm+1m+1.


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