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Lerch transcendent

In mathematics, the Lerch transcendent, is a special function that generalizes the Hurwitz zeta function and the polylogarithm. It is named after Czech mathematician Mathias Lerch, who published a paper about a similar function in 1887. The Lerch transcendent, is given by:

Special cases, Series representations & Integral representations

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Series representations

Asymptotic expansion

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Lerch transcendent

Nodes36
Edges35
Triples49
Avg. degree1.94
Density0.055556
Components1

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Lerch transcendent

Top relations

related to External links · 39
Lerch transcendent → Aksenov, Approximation, Bochner's, Boisvert, Calculation, Cambridge University Press, Charles, Clark, Daniel, Eric, Frank, Garunkstis, Hardy-Ramanujan Journal, Home Page, ISBN, Jentschura, Kanemitsu, Lerch Zeta Function, Lerch's Transcendent, LIMA
related to Software · 5
Lerch transcendent → LerchPhi, Maple, Mathematica, SymPy, The Lerch
related to Integral representations · 2
Lerch transcendent → The, The Lerch
related to Series representations · 2
Lerch transcendent → Lerch, Note
related to Special cases · 1
Lerch transcendent → The Lerch

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Important terminology

displaystyle transcendent function lerch series given re mr integral representation zeta special doi polylogarithm hurwitz isbn functions lerch's 10 asymptotic

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Lerch transcendentrelated to External linksAksenov0.60section
Lerch transcendentrelated to External linksSergej0.60section
Lerch transcendentrelated to External linksJentschura0.60section
Lerch transcendentrelated to External linksUlrich0.60section
Lerch transcendentrelated to External linksMathematica Programs0.60section
Lerch transcendentrelated to External linksCalculation0.60section
Lerch transcendentrelated to External linksLerch's Transcendent0.60section
Lerch transcendentrelated to External linksRamunas Garunkstis0.60section
Lerch transcendentrelated to External linksHome Page0.60section
Lerch transcendentrelated to External linksProvides0.60section
Lerch transcendentrelated to External linksGarunkstis0.60section
Lerch transcendentrelated to External linksRamunas0.60section

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