Let denote the – th harmonic number of weight . Prove that

**Solution**

Recall the generating function

(1)

Thus from to we get that

(2)

Integrating from to the result follows.

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Let denote the – th harmonic number of weight . Prove that

**Solution**

Recall the generating function

(1)

Thus from to we get that

(2)

Integrating from to the result follows.