Examples of 'meromorphic' in a sentence
Meaning of "meromorphic"
meromorphic (adjective): 'Meromorphic' is a mathematical term used to describe a function that is analytic and has poles at isolated points in the complex plane. It is commonly employed in complex analysis and related fields to characterize certain types of functions with distinct mathematical properties
Show more definitions
- That is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points).
How to use "meromorphic" in a sentence
Basic
Advanced
meromorphic
These surfaces have no meromorphic functions and no curves.
Meromorphic functions on an elliptic curve are also known as elliptic functions.
Distribution of values of meromorphic functions.
Functions that have only poles but no essential singularities are called meromorphic.
Is the divisor of a meromorphic function.
Meromorphic Jacobi forms appear in the theory of Mock modular forms.
The field of fractions are the functions meromorphic on the whole plane.
Since the poles of a meromorphic function are isolated, there are at most countably many.
This construction is helpful in the study of holomorphic and meromorphic functions.
This is an equality of meromorphic functions valid on the whole complex plane.
His main area of research was the theory of entire and meromorphic functions.
It starts by analysis of meromorphic integrability of the classical three body problem.
Precisely it consists in finding the boundary of a maximal domain on which a meromorphic extension exists.
Thereby the notion of a meromorphic function can be defined for every Riemann surface.
The Laplace transform of the Heaviside step function is a meromorphic function.
See also
The resonances are the poles of a meromorphic family of generalized eigenfunctions of the Laplace operator.
Instead, modular functions are meromorphic.
Thus, this function is not meromorphic in the whole complex plane.
If f is meromorphic but not holomorphic at the cusp, it is called a non-entire modular form.
Instead, modular functions are meromorphic at infinity.
Suppose that we desire a meromorphic function with simple poles of residue 1 at all positive integers.
Properties of approximations and radial limits of meromorphic and entire functions ".
Finally, meromorphic functions on a Riemann surface are locally represented as fractions of holomorphic functions.
In complex analysis, an elliptic function is a meromorphic function that is periodic in two directions.
In complex analysis, the Riemann sphere facilitates an elegant theory of meromorphic functions.
A divisor of a global meromorphic 1-form is called the canonical divisor usually denoted K.
Abstract, We analyse some geodesic-completeness problem in the case of meromorphic metrics on complex manifolds.
The divisor of a meromorphic 1-form is defined similarly.
These are never algebraic, though they have non-constant meromorphic functions.
A zero of a meromorphic function f is a complex number z such that f ( z ) 0.
Use Mittag-Leffler's theorem to construct a meromorphic function with a pole at each lion.
Intuitively, a meromorphic function is a ratio of two well-behaved ( holomorphic ) functions.
Weierstrass parametrization,, with, where f is a meromorphic function and g a holomorphic function.
A meromorphic function is open?
In complex analysis, Mittag-Leffler's theorem concerns the existence of meromorphic functions with prescribed poles.
It is this ( conjectural ) meromorphic continuation to the complex plane which is called an L-function.
However, there always exist non-constant meromorphic functions holomorphic functions with values in the Riemann sphere C ∪ { ∞.
The meromorphic continuation and functional equation of the $ \ zeta $ - function.
Let f ( z ) be a meromorphic function.
It is this ( conjectural ) meromorphic continuation to the complex plane which is called an " L " - function.
Category, Meromorphic functions.
However, it is meromorphic ( even holomorphic ) on.
