- In the
mathematical field of
complex analysis, a
meromorphic function on an open
subset D of the
complex plane is a
function that is
holomorphic on all...
- poles, that is
fundamental for the
study of
meromorphic functions. For example, if a
function is
meromorphic on the
whole complex plane plus the
point at...
-
concerns the
existence of
meromorphic functions with
prescribed poles. Conversely, it can be used to
express any
meromorphic function as a sum of partial...
- In
complex analysis, a
branch of mathematics,
analytic continuation is a
technique to
extend the
domain of
definition of a
given analytic function. Analytic...
- half-plane (among
other requirements). Instead,
modular functions are
meromorphic: they are
holomorphic on the
complement of a set of
isolated points,...
- In mathematics, the
polygamma function of
order m is a
meromorphic function on the
complex numbers C {\displaystyle \mathbb {C} }
defined as the (m +...
- (morphḗ)
meaning "form" or "appearance" or "type", in
contrast to the term
meromorphic derived from μέρος (méros)
meaning "part". A
holomorphic function resembles...
-
questions in
several complex variables,
concerning the
existence of
meromorphic functions that are
specified in
terms of
local data. They were introduced...
-
algebraic geometry, for the com****tion of the
dimension of the
space of
meromorphic functions with
prescribed zeros and
allowed poles. It
relates the complex...
- any two
meromorphic functions are
algebraically dependent. This
statement generalizes to
higher dimensions, see
Siegel (1955).
Meromorphic functions...
