given the harmonic series

$$ \sum_{n=0}^{\infty}\frac{1}{n+a} $$

what is the correct option for the regularization ?

a) $ \sum_{n=0}^{\infty}\frac{1}{n+a}= -\Psi (a) $ Digamma function

b) $ \sum_{n=0}^{\infty}\frac{1}{n+a}= -\Psi(a)+\log a $

for $ a=1 $ the solution is the same $ \sum_{n=0}^{\infty}\frac{1}{n+1}= \gamma $

but for any other positive a? where can i find info on the Harmonci generalized series and physics?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.