Entire function
In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic on the whole complex plane. Typical examples of entire functions are polynomials and the exponential function, and any finite sums, products and compositions of these, such as the trigonometric functions sine and cosine and their hyperbolic counterparts sinh and cosh, as well as derivatives and integrals of entire functions such as the error function. If an entire function f(z) has a root at w, then f(z)/(z−w), taking the limit value at w, is an entire function. On the other hand, neither the natural logarithm nor the square root is an entire function, nor can they be continued analytically to an entire function.
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Entire function
In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic on the whole complex plane. Typical examples of entire functions are polynomials and the exponential function, and any finite sums, products and compositions of these, such as the trigonometric functions sine and cosine and their hyperbolic counterparts sinh and cosh, as well as derivatives and integrals of entire functions such as the error function. If an entire function f(z) has a root at w, then f(z)/(z−w), taking the limit value at w, is an entire function. On the other hand, neither the natural logarithm nor the square root is an entire function, nor can they be continued analytically to an entire function.
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Celá funkce v oboru komplexní ...... ládáním, sčítáním a násobením.
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Em matemática, sobretudo na an ...... ítica em todo o plano complexo
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En analyse complexe, une fonct ...... dus aux fonctions méromorphes.
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En anàlisi complexa, una funci ...... sigui holomorfa en un entorn.
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En el análisis complejo, una f ...... mpleta que no es un polinomio.
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En matematisk funktion sägs va ...... i hela det komplexa talplanet.
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Funkcja całkowita – funkcja zm ...... y na całej płaszczyźnie: gdzie
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In analisi complessa, per funz ...... gni punto del piano complesso.
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In complex analysis, an entire ...... tion that is not a polynomial.
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In de complexe analyse, een de ...... eks altijd een gehele functie.
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Celá funkce v oboru komplexní ...... ládáním, sčítáním a násobením.
@cs
Em matemática, sobretudo na an ...... é C ou é C \ , para algum ∈ C.
@pt
En analyse complexe, une fonct ...... dus aux fonctions méromorphes.
@fr
En anàlisi complexa, una funci ...... llevat d'un valor com a màxim.
@ca
En el análisis complejo, una f ...... amente a una función completa.
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En matematisk funktion sägs va ...... i hela det komplexa talplanet.
@sv
Funkcja całkowita – funkcja zm ...... y na całej płaszczyźnie: gdzie
@pl
In analisi complessa, per funz ...... gni punto del piano complesso.
@it
In complex analysis, an entire ...... tically to an entire function.
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In de complexe analyse, een de ...... eks altijd een gehele functie.
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Celá funkce
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Entire function
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Fonction entière
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Funció entera
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Función completa
@es
Funkcja całkowita
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Funzione intera
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Função inteira
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Ganze Funktion
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Gehele functie
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