Polygamma function
In mathematics, the polygamma function of order m is a meromorphic function on the complex numbers ℂ defined as the (m + 1)th derivative of the logarithm of the gamma function: Thus holds where ψ(z) is the digamma function and Γ(z) is the gamma function. They are holomorphic on ℂ \ −ℕ0. At all the nonpositive integers these polygamma functions have a pole of order m + 1. The function ψ(1)(z) is sometimes called the trigamma function.
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Polygamma function
In mathematics, the polygamma function of order m is a meromorphic function on the complex numbers ℂ defined as the (m + 1)th derivative of the logarithm of the gamma function: Thus holds where ψ(z) is the digamma function and Γ(z) is the gamma function. They are holomorphic on ℂ \ −ℕ0. At all the nonpositive integers these polygamma functions have a pole of order m + 1. The function ψ(1)(z) is sometimes called the trigamma function.
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Dalam matematika, fungsi polig ...... n . Fungsi terkadang disebut .
@in
En matemàtiques, la funció pol ...... o ) s'anomena funció trigamma.
@ca
En matemática, la función poli ...... : donde es la función digamma.
@es
En mathématiques, la fonction ...... ois la fonction (ou ) la (en).
@fr
In matematica, per funzione po ...... ma e denota la funzione gamma.
@it
In mathematics, the polygamma ...... called the trigamma function.
@en
Polygammafunktionen av ordning ...... tionen och trigammafunktionen.
@sv
Полига́мма-фу́нкция порядка m ...... — гексагамма-функцией, и т. д.
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数学において、ポリガンマ関数（ぽりがんまかんすう、英: po ...... れる特殊関数。ディガンマ関数やはポリガンマ関数の一種である。
@ja
阶多伽玛函数是伽玛函数的第个。 在这里 是双伽玛函数，是伽玛函数。函数有时称为。
@zh
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Dalam matematika, fungsi polig ...... n . Fungsi terkadang disebut .
@in
En matemàtiques, la funció pol ...... o ) s'anomena funció trigamma.
@ca
En matemática, la función poli ...... : donde es la función digamma.
@es
En mathématiques, la fonction ...... ois la fonction (ou ) la (en).
@fr
In matematica, per funzione po ...... ma e denota la funzione gamma.
@it
In mathematics, the polygamma ...... called the trigamma function.
@en
Polygammafunktionen av ordning ...... tionen och trigammafunktionen.
@sv
Полига́мма-фу́нкция порядка m ...... вольного (нецелого) порядка m.
@ru
数学において、ポリガンマ関数（ぽりがんまかんすう、英: po ...... れる特殊関数。ディガンマ関数やはポリガンマ関数の一種である。
@ja
阶多伽玛函数是伽玛函数的第个。 在这里 是双伽玛函数，是伽玛函数。函数有时称为。
@zh
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Fonction polygamma
@fr
Funció poligamma
@ca
Función poligamma
@es
Fungsi poligamma
@in
Funzione poligamma
@it
Polygamma function
@en
Polygammafunktion
@de
Polygammafunktionen
@sv
Полигамма-функция
@ru
ポリガンマ関数
@ja