Voorbeelden van het gebruik van Meromorphic function in het Engels en hun vertalingen in het Nederlands
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Rational functions are representative examples of meromorphic functions.
Meromorphic functions on an elliptic curve are also known as elliptic functions. .
In the mathematical field of complex analysis, Nevanlinna theory is part of the theory of meromorphic functions.
Thereby the notion of a meromorphic function can be defined for every Riemann surface.
while there always exist non-constant meromorphic functions.
Since the poles of a meromorphic function are isolated,
Mittag-Leffler's theorem concerns the existence of meromorphic functions with prescribed poles.
A meromorphic function can only have a finite number of negative-exponent terms in its Laurent series, its q-expansion.
By analytic continuation, this function can be extended to a meromorphic function on the whole complex plane.
Thus, if"D" is connected, the meromorphic functions form a field, in fact a field extension of the complex numbers.
in higher dimensions there do exist complex manifolds on which there are no non-constant meromorphic functions, for example, most complex tori.
In several complex variables, a meromorphic function is defined to be locally a quotient of two holomorphic functions. .
In mathematics, the Schneider-Lang theorem is a refinement by Lang(1966) of a theorem of Schneider(1949) about the transcendence of values of meromorphic functions.
On a non-compact Riemann surface every meromorphic function can be realized as a quotient of two(globally defined) holomorphic functions. .
In mathematics, more specifically complex analysis, the residue is a complex number proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities.
Every singularity of a meromorphic function is isolated,
Dirichlet characters are used to define Dirichlet"L"-functions, which are meromorphic functions with a variety of interesting analytic properties.
For every Riemann surface, a meromorphic function is the same as a holomorphic function that maps to the Riemann sphere and which is not constant∞.
specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeroes
In the mathematical field of complex analysis, a pole of a meromorphic function is a certain type of singularity that behaves like the singularity of formula_1 at"z" 0.
Every meromorphic function on D can be expressed as the ratio between two holomorphic functions(with the denominator not constant 0)
then the set of meromorphic functions is the field of fractions of the integral domain of the set of holomorphic functions. .
specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeroes
In mathematics, an L-function is a meromorphic function on the complex plane,
The Hasse-Weil conjecture states that the Hasse-Weil zeta function should extend to a meromorphic function for all complex s,
Definition==The residue of a meromorphic function formula_2 at an isolated singularity formula_3, often denoted formula_4 or formula_5,
since one can prove that any meromorphic function on the sphere is rational.
allows one to consider a given meromorphic function as a product of three factors:
Here it is no longer true that every meromorphic function can be regarded as holomorphic function with values in the Riemann sphere:
allows one to consider a given meromorphic function as a product of three factors: