Examples of using Holomorphic function in English and their translations into Portuguese
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He works with one-dimensional dynamics and holomorphic functions.
He researched mostly on holomorphic functions in complex analysis.
Holomorphic functions are the central objects of study in complex analysis.
The main focus of his research was in the properties of holomorphic functions.
The study of holomorphic functions is one of the most important chapters in mathematics.
For a fixed formula_5,the function formula_8 is a holomorphic function of formula_9.
Entire function: A holomorphic function whose domain is the entire complex plane.
We obtain a representation type weierstrass for these surfaces that depend on three holomorphic functions.
Then, formula_1 also acts on the space of holomorphic functions from formula_2 to the complex numbers.
Holomorphic function: Complex valued function of a complex variable which is differentiable at every point in its domain.
Then, G{\displaystyle G}also acts on the space of holomorphic functions from X{\displaystyle X} to the complex numbers.
A holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.
David Catlin at the Mathematics Genealogy Project"Boundary Behavior of Holomorphic Functions on Weakly Pseudoconvex Domains.
This series denes a holomorphic function in the unit open disk and it converges at every point except for z 1 where it has a non-polar singularity.
Consider for example any compact connected complex manifold M: any holomorphic function on it is constant by Liouville's theorem.
However, if formula_12 is a holomorphic function, real-valued on the real line, which can be evaluated at points in the complex plane near formula_13 then there are stable methods.
Catlin received in 1978 his Ph.D. from Princeton University under Joseph Kohn with thesis Boundary Behavior of Holomorphic Functions on Weakly Pseudoconvex Domains.
However, if f{\displaystyle f}is a holomorphic function, real-valued on the real line, which can be evaluated at points in the complex plane near x{\displaystyle x} then there are stable methods.
For a fixed γ∈ Γ{\displaystyle\gamma\in\Gamma}, the function ν( γ, z){\displaystyle\nu(\gamma,z)}is a holomorphic function of z∈ H{\displaystyle z\in\mathbb{H.
It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary of the disk, and it provides integral formulas for all derivatives of a holomorphic function. .
Frank John Forelli, Jr.(8 April 1932, San Diego- 5 September 1994, Madison, Wisconsin) was an American mathematician,specializing in the functional analysis of holomorphic functions.
It states that a holomorphic function on a half-strip in the complex plane that is bounded on the boundary of the strip and does not grow"too fast" in the unbounded direction of the strip must remain bounded on the whole strip.
We still study recent results of hypercyclicity for convolution operators defined between certain fréchet spaces of holomorphic functions defined on a complex banach space.
In this thesis we study the set e(u) of all holomorphic functions f from u to c such that u is the domain of existence of f. more specifically, we will see that under some hypotheses there are several algebraic structures inside the set eu.
Next we studyt he differentiation of holomorphy types as a method to generate new holomorphy types froma given one and we briefly study holomorphic functions associated to a given holomorphy type.
The function defined by this series can be extended to a holomorphic function defined on all complex numbers with a branch cut along the interval-∞, -1/e; this holomorphic function defines the principal branch of the Lambert W function. .
In a second moment some problematizations were raised in order to show in a simple way the integral formula of cauchy,also doing a study on integral of contour, holomorphic functions and the theorem of cauhy.
Since holomorphic functions are much more rigid than smooth functions, the theories of smooth and complex manifolds have very different flavors: compact complex manifolds are much closer to algebraic varieties than to differentiable manifolds.
This is work aims to present a application of the ultraproducts theory in functional analysis in banach spaces,specifically in the problems of extension of holomorphic functions, polarization constants and maximal operator ideals.
In complex analysis,a removable singularity of a holomorphic function is a point at which the function is undefined, but it is possible to define the function at that point in such a way that the function is regular in a neighbourhood of that point.