Barnes G-function
In mathematics, the Barnes G-function G(z) is a function that is an extension of superfactorials to the complex numbers. It is related to the gamma function, the K-function and the Glaisher–Kinkelin constant, and was named after mathematician Ernest William Barnes. It can be written in terms of the double gamma function. Formally, the Barnes G-function is defined in the following Weierstrass product form: where is the Euler–Mascheroni constant, exp(x) = ex, and ∏ is capital pi notation.
Wikipage disambiguates
Wikipage redirect
Barnes functionCatalan's constantClausen functionErnest BarnesEuler–Mascheroni constantFactorialG-FunctionG-functionGamma functionGenerating function transformationGlaisher–Kinkelin constantIndefinite productK-functionList of mathematical functionsList of special functions and eponymsMultiple gamma functionMultivariate gamma functionParticular values of the gamma function
Link from a Wikipage to another Wikipage
primaryTopic
Barnes G-function
In mathematics, the Barnes G-function G(z) is a function that is an extension of superfactorials to the complex numbers. It is related to the gamma function, the K-function and the Glaisher–Kinkelin constant, and was named after mathematician Ernest William Barnes. It can be written in terms of the double gamma function. Formally, the Barnes G-function is defined in the following Weierstrass product form: where is the Euler–Mascheroni constant, exp(x) = ex, and ∏ is capital pi notation.
has abstract
Barnes G-funktion är en specie ...... d efter Ernest William Barnes.
@sv
Die Barnessche -Funktion, typi ...... scheroni-Konstante bezeichnet.
@de
En matemàtiques, la funció G-B ...... xp(x)= ex, i ∏ és el producte.
@ca
G-функция Барнса (обычно обозн ...... — постоянная Эйлера—Маскерони.
@ru
In matematica, la funzione G d ...... litamente viene denotata con .
@it
In mathematics, the Barnes G-f ...... and ∏ is capital pi notation.
@en
巴尼斯G函数是超级阶乘函数在复数上的扩展。它与Γ函数、K函数 ...... 拉斯分解定理的形式定义为: 其中,γ表示欧拉-马歇罗尼常数。
@zh
数学において、バーンズの G-関数(バーンズのGかんすう、英 ...... ex は指数関数である。また、∏ は総乗の Π-記法である。
@ja
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
986,768,661
Link from a Wikipage to another Wikipage
first
R.
@en
R.A.
@en
last
Askey
@en
Roy
@en
wikiPageUsesTemplate
comment
Barnes G-funktion är en specie ...... d efter Ernest William Barnes.
@sv
Die Barnessche -Funktion, typi ...... scheroni-Konstante bezeichnet.
@de
En matemàtiques, la funció G-B ...... xp(x)= ex, i ∏ és el producte.
@ca
G-функция Барнса (обычно обозн ...... — постоянная Эйлера—Маскерони.
@ru
In matematica, la funzione G d ...... litamente viene denotata con .
@it
In mathematics, the Barnes G-f ...... and ∏ is capital pi notation.
@en
巴尼斯G函数是超级阶乘函数在复数上的扩展。它与Γ函数、K函数 ...... 拉斯分解定理的形式定义为: 其中,γ表示欧拉-马歇罗尼常数。
@zh
数学において、バーンズの G-関数(バーンズのGかんすう、英 ...... ex は指数関数である。また、∏ は総乗の Π-記法である。
@ja
label
Barnes G-function
@en
Barnes G-funktion
@sv
Barnessche G-Funktion
@de
Funció G-Barnes
@ca
Funzione G di Barnes
@it
G-функция Барнса
@ru
バーンズのG関数
@ja
巴尼斯G函数
@zh