Lerch transcendent
special mathematical function given by the series ∑_{n=0}^∞ z^n/(n+α)^s
Facts
4 properties- Instance of
- function, special function[2]
- Defining formula
- \Phi(z,\alpha,s)=\sum_{n=0}^\infty\frac{z^n}{(n+\alpha)^s}[5]
- Maintained by WikiProject
- WikiProject Mathematics[6]
- Named after
- Adolf Hurwitz, Mathias Lerch[3][4]
🏷️ Also known as
en Lerch transcendent
en Lerch zeta function
de Lerchsche Zeta-Funktion
de Transzendente Lerch-Funktion
de Lerchsche ζ-Funktion
es Función zeta de Lerch
es Funcion zeta de Hurwitz-Lerch
es Funcion zeta de Hurwitz Lerch
es Función zeta de Hurwitz Lerch
es Función zeta de Hurwitz-Lerch
es Funcion zeta de Lerch
fi Lerchin transsendentti
fr Fonction zeta de Lerch
fr Fonction zêta de Lerch
it Funzione transcendente di Lerch
it Funzione trascendente di Lerch
ja レルヒゼータ函数
ja レルヒゼータ関数
ja レルヒのゼータ函数
ja レルヒのゼータ関数
🔖 Identifiers · 4
- Freebase ID
- /m/04v7tx
- MathWorld ID
- LerchTranscendent
- Microsoft Academic ID (discontinued)
- 2781367352
- ProofWiki ID
- Definition:Lerch_Transcendent
🔗 Connections
Instance of 2
Named after 2
Created notable works 1
Maintained by WikiProject 1
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Summary
Lerch transcendent is a function[1].