Commit 2025-05-04 05:31 5f825df9
View on Github โfeat: introduce factorized rational functions (#23913)
Discuss functions ๐ โ ๐
of the form โแถ u, (ยท - u) ^ d u
, where d : ๐ โ โค
is integer-valued. Show that these "factorized rational functions" are meromorphic in normal form, with divisor equal to d
. Factorized rational functions will be used in a follow-up PR to extract poles and zeros from meromorphic functions. This, in turn, will be useful to show prove integrability of functions of type log |meromorphic| that frequently appear in complex analysis.
This material is used in Project VD, which aims to formalize Value Distribution Theory for meromorphic functions on the complex plane.