Examples of 'holomorphic' in a sentence
Meaning of "holomorphic"
Holomorphic (adjective): Refers to a function that is complex differentiable at every point within its domain. In mathematics, this term is often used in the context of complex analysis
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- Complex-differentiable on an open set around every point in its domain.
- Having holohedral symmetry.
How to use "holomorphic" in a sentence
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holomorphic
Differentiable and holomorphic functions of a complex variable.
Holomorphic functions exhibit some remarkable features.
He researched mostly on holomorphic functions in complex analysis.
Holomorphic functions are also sometimes referred to as regular functions.
The product of two holomorphic functions is holomorphic.
Holomorphic functions of several complex variables.
They are the boundary analogs of holomorphic functions.
Define f to be holomorphic if it is analytic at each point in its domain.
Herglotz representation theorem for holomorphic functions.
This map is holomorphic if and only if.
Uniform approximation of functions by holomorphic functions.
Be a holomorphic function on the unit disk.
This is the real part of a holomorphic function.
Every holomorphic function is analytic.
The basic idea is to define a holomorphic function.
See also
Holomorphic functions are the central objects of study in complex analysis.
This function is holomorphic everywhere except at.
The functions sinh z and cosh z are then holomorphic.
Function that is holomorphic on the whole complex plane.
Such transformations are called conformal or holomorphic.
Often one says the holomorphic functions separate points.
In the second part we are concerned with holomorphic fillings.
A holomorphic function blows up uniformly near its other poles.
This is related to zeros of a holomorphic function.
The space of entire holomorphic functions on the complex plane is nuclear.
The inverse image of any noncritical value of a holomorphic map.
Then it is holomorphic everywhere.
This is because complex conjugation itself is not a holomorphic function.
Holomorphic line bundles.
The resulting function is holomorphic.
Holomorphic vector bundle.
This is used to show existence theorems for holomorphic functions.
And f is holomorphic at infinity.
The opposite is true in the algebraic and holomorphic settings.
Holomorphic functional calculus.
Topological properties of holomorphic functions.
A holomorphic function whose domain is the whole complex plane is called an entire function.
The requirement of the tetration being holomorphic is important for its uniqueness.
Is holomorphic at α.
The main focus of his research was in the properties of holomorphic functions.
The second one concerns holomorphic dynamics in the complex projective plane.
We then prove a version of the previous results in the holomorphic setting.
Is also holomorphic.
It is however one of the simplest results capturing the rigidity of holomorphic functions.
Abel elliptic functions are holomorphic functions of one complex variable and with two periods.
This is also the initial topology for the family of holomorphic functions.
See also Proof that holomorphic functions are analytic.
Which relates the real and imaginary parts u and v of a holomorphic function.
Every holomorphic map between Kähler manifolds is harmonic.
This construction is helpful in the study of holomorphic and meromorphic functions.
