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Polylogarithm

  • Kartonierter Einband
  • 116 Seiten
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High Quality Content by WIKIPEDIA articles! In the important case where the parameter s is an integer, it will be represented by n... Weiterlesen
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Beschreibung

High Quality Content by WIKIPEDIA articles! In the important case where the parameter s is an integer, it will be represented by n (or n when negative). It is often convenient to define = ln(z) where ln(z) is the principal branch of the complex logarithm Ln(z) so that Im( ) . Also, all exponentiation will be assumed to be single valued: zs = exp(s ln(z)). Depending on the parameter s, the polylogarithm may be multi-valued. The principal branch of the polylogarithm is chosen to be that for which Lis(z) is real for z real, 0 z 1 and is continuous except on the positive real axis, where a cut is made from z = 1 to such that the cut puts the real axis on the lower half plane of z. In terms of , this amounts to arg( ) . The fact that the polylogarithm may be discontinuous in can cause some confusion.

Produktinformationen

Titel: Polylogarithm
Untertitel: Special Functions, Elementary Function, Logarithm, Complex Number, Analytic Continuation, Natural Logarithm, Spence's Function, Rational Function
Andere:
Editor:
EAN: 9786130337933
ISBN: 978-613-0-33793-3
Format: Kartonierter Einband
Herausgeber: Betascript Publishing
Genre: Mathematik
Anzahl Seiten: 116
Gewicht: 171g
Größe: H6mm x B220mm x T150mm
Jahr: 2010