Analytic function
In mathematics, an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions, categories that are similar in some ways, but different in others. Functions of each type are infinitely differentiable, but complex analytic functions exhibit properties that do not hold generally for real analytic functions. A function is analytic if and only if its Taylor series about x0 converges to the function in some neighborhood for every x0 in its domain.
Wikipage disambiguates
primaryTopic
Analytic function
In mathematics, an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions, categories that are similar in some ways, but different in others. Functions of each type are infinitely differentiable, but complex analytic functions exhibit properties that do not hold generally for real analytic functions. A function is analytic if and only if its Taylor series about x0 converges to the function in some neighborhood for every x0 in its domain.
has abstract
Als analytisch bezeichnet man ...... nalytisch, nennt man sie ganz.
@de
Em matemática, uma função anal ...... de Banach complexo arbitrário.
@pt
En matemáticas una función ana ...... o es necesariamente analítica.
@es
En mathématiques, et plus préc ...... tique sur tout ouvert connexe.
@fr
Funkcja analityczna na zbiorze ...... ażdego punktu należącego do D.
@pl
In matematica, una funzione an ...... o sviluppo in serie di Taylor.
@it
In mathematics, an analytic fu ...... od for every x0 in its domain.
@en
Аналити́ческая функция веществ ...... ивалентность этих определений.
@ru
هذا المقال يتحدث بشكل عام على ...... بمتسلسلة تايلور لقوى (x - x0).
@ar
在數學中,解析函数是局部上由收斂冪級數給出的函數。解析函數可 ...... 每个x0的邻域内的泰勒级数都收敛。 解析函數集有時也寫作 。
@zh
Link from a Wikipage to an external page
Wikipage page ID
Wikipage revision ID
743,969,085
title
Analytic Function
Analytic function
urlname
AnalyticFunction
subject
hypernym
comment
Als analytisch bezeichnet man ...... nalytisch, nennt man sie ganz.
@de
Em matemática, uma função anal ...... de Banach complexo arbitrário.
@pt
En matemáticas una función ana ...... o es necesariamente analítica.
@es
En mathématiques, et plus préc ...... étaillé : Fonction holomorphe.
@fr
Funkcja analityczna na zbiorze ...... ażdego punktu należącego do D.
@pl
In matematica, una funzione an ...... o sviluppo in serie di Taylor.
@it
In mathematics, an analytic fu ...... od for every x0 in its domain.
@en
Аналити́ческая функция веществ ...... условий: и Здесь и . То есть .
@ru
هذا المقال يتحدث بشكل عام على ...... بمتسلسلة تايلور لقوى (x - x0).
@ar
在數學中,解析函数是局部上由收斂冪級數給出的函數。解析函數可 ...... 每个x0的邻域内的泰勒级数都收敛。 解析函數集有時也寫作 。
@zh
label
Analytic function
@en
Analytische Funktion
@de
Fonction analytique
@fr
Función analítica
@es
Funkcja analityczna
@pl
Funzione analitica
@it
Função analítica
@pt
Аналитическая функция
@ru
دالة تحليلية
@ar
解析函数
@zh