Let . Prove that

**Solution**

First of all,

due to the well known formulae and .

However using the residue theorem we get that

Thus,

due to the binomial theorem and the well known fact

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Let . Prove that

**Solution**

First of all,

due to the well known formulae and .

However using the residue theorem we get that

Thus,

due to the binomial theorem and the well known fact