0
$\begingroup$

Given a series of complex numbers $\{a_j\}_{j\in\mathbb{Z}}$, there exists a meromorphic function having simple poles only at all $\mathbb{Z}$ with the residues equal to $\{a_j\}_{j\in\mathbb{Z}}$ correspondingly.

Is there any formula to find an analytic expression of this function as a product in terms of these poles with their corresponding residues?

$\endgroup$

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.