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Anglický jazyk
Polylogarithm
Autor: Lambert M. Surhone
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 µ = ln(z) where ln(z) is the principal branch of the complex logarithm... Viac o knihe
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O knihe
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 µ = ln(z) where ln(z) is the principal branch of the complex logarithm Ln(z) so that -p Im(µ) = p. 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 8 such that the cut puts the real axis on the lower half plane of z. In terms of µ, this amounts to -p arg(-µ) = p. The fact that the polylogarithm may be discontinuous in µ can cause some confusion.
- Vydavateľstvo: OmniScriptum
- Rok vydania: 2026
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9786130337933
