let f(x,z) =((z e^(xz) )/(e^z −1)) (x and z from C)
1) prove that f(x,z) =Σ_(n=0) ^∞ B_n (x)(z^n /(n!))
with B_n (x) is a unitaire polynome with degre n
determine B_n (x) interms of B_n (number of bernoulli)
2)prove that B _n^′ (x)=nB_(n−1) (x)
B_n (x+1)−B_n (x) =nx^(n−1)
prove that f(x,z)=f(1−x,−z) and B_n (1−x) =(−1)^n B_n (x)
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