Zeros and poles
In complex analysis (a branch of mathematics), a pole is a certain type of singularity of a function, nearby which the function behaves relatively regularly, in contrast to essential singularities, such as 0 for the logarithm function, and branch points, such as 0 for the complex square root function. A function f of a complex variable z is meromorphic in the neighbourhood of a point z0 if either f or its reciprocal function 1/f is holomorphic in some neighbourhood of z0 (that is, if f or 1/f is complex differentiable in a neighbourhood of z0).
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Zeros and poles
In complex analysis (a branch of mathematics), a pole is a certain type of singularity of a function, nearby which the function behaves relatively regularly, in contrast to essential singularities, such as 0 for the logarithm function, and branch points, such as 0 for the complex square root function. A function f of a complex variable z is meromorphic in the neighbourhood of a point z0 if either f or its reciprocal function 1/f is holomorphic in some neighbourhood of z0 (that is, if f or 1/f is complex differentiable in a neighbourhood of z0).
has abstract
Biegun funkcji meromorficznej ...... nieskończona to punkt jest ).
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Em análise complexa, um polo d ...... s conforme z se aproxima de a.
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En analyse complexe, un pôle d ...... pelée une fonction méromorphe.
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En análisis complejo, un polo ...... ito a medida que z tiende a a.
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En l'àmbit matemàtic de l'anàl ...... nfinit quan z tendeix cap a a.
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En pol är inom komplex analys en isolerad singularitet med oändligt gränsvärde.
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In complex analysis (a branch ...... e multiplicities of its zeros.
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In de functietheorie is een po ...... m tot oneindig als tot nadert.
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In der Mathematik bezeichnet m ...... omplexen Zahlen zu betrachten.
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In matematica, e in particolar ...... ntale nel calcolo dei residui.
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title
Pole
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urlname
Pole
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wikiPageUsesTemplate
subject
comment
Biegun funkcji meromorficznej ...... nieskończona to punkt jest ).
@pl
Em análise complexa, um polo d ...... s conforme z se aproxima de a.
@pt
En analyse complexe, un pôle d ...... pelée une fonction méromorphe.
@fr
En análisis complejo, un polo ...... ito a medida que z tiende a a.
@es
En l'àmbit matemàtic de l'anàl ...... nfinit quan z tendeix cap a a.
@ca
En pol är inom komplex analys en isolerad singularitet med oändligt gränsvärde.
@sv
In complex analysis (a branch ...... ble in a neighbourhood of z0).
@en
In de functietheorie is een po ...... m tot oneindig als tot nadert.
@nl
In der Mathematik bezeichnet m ...... achtungen durchgeführt werden.
@de
In matematica, e in particolar ...... ntale nel calcolo dei residui.
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label
Biegun (analiza zespolona)
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Pol (anàlisi complexa)
@ca
Pol (matematik)
@sv
Polo (analisi complessa)
@it
Polo (análise complexa)
@pt
Polo (análisis complejo)
@es
Polstelle
@de
Poluso (kompleksa analitiko)
@eo
Pool (functietheorie)
@nl
Pôle (mathématiques)
@fr