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Question Number 165597 by mnjuly1970 last updated on 05/Feb/22
      prove that        Σ_(n=1) ^∞ (( ψ^( (1)) (n))/n^( 2) ) =(7/4) ζ (4)   ■ m.n
$$ \\ $$$$\:\:\:\:{prove}\:{that} \\ $$$$\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\:\psi^{\:\left(\mathrm{1}\right)} \left({n}\right)}{{n}^{\:\mathrm{2}} }\:=\frac{\mathrm{7}}{\mathrm{4}}\:\zeta\:\left(\mathrm{4}\right)\:\:\:\blacksquare\:{m}.{n} \\ $$$$ \\ $$

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