Applying the Copson's inequality, I found:
S=∞∑k=1(Ψ(1)(k))2<23π2 where
Ψ(1)(k) is the polygamma function.
Is it known any sharper bound for the sum S?
Thanks.
Answer
The upper bound can be improved using asymptofic series :
Applying the Copson's inequality, I found:
S=∞∑k=1(Ψ(1)(k))2<23π2 where
Ψ(1)(k) is the polygamma function.
Is it known any sharper bound for the sum S?
Thanks.
Answer
The upper bound can be improved using asymptofic series :
How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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