Definition of Polylogarithm. Meaning of Polylogarithm. Synonyms of Polylogarithm

Here you will find one or more explanations in English for the word Polylogarithm. Also in the bottom left of the page several parts of wikipedia pages related to the word Polylogarithm and, of course, Polylogarithm synonyms and on the right images related to the word Polylogarithm.

Definition of Polylogarithm

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Meaning of Polylogarithm from wikipedia

- In mathematics, the polylogarithm (also known as Jonquière's function, for Alfred Jonquière) is a special function Lis(z) of order s and argument z. Only...
- In mathematics, the incomplete polylogarithm function is related to the polylogarithm function. It is sometimes known as the incomplete Fermi–Dirac integral...
- hypergeometric function of Kummer. Another one, defined below, is related to the polylogarithm. Both are named for Ernst Kummer. Kummer's function is defined by Λ...
- arXiv:0912.3844 [math.CA]. Crandall, Richard. "Unified algorithms for polylogarithm, L-series, and zeta variants" (PDF). PSI Press. Archived from the original...
- Spence's function), denoted as Li2(z), is a particular case of the polylogarithm. Two related special functions are referred to as Spence's function...
- function. Li s ⁡ ( z ) {\displaystyle \operatorname {Li} _{s}(z)} is a polylogarithm. ( n k ) {\displaystyle n \choose k} is binomial coefficient exp ⁡ (...
- imq}}{m^{s}}}=\operatorname {Li} _{s}\left(e^{2\pi iq}\right)} where Lis(z) is the polylogarithm. It obeys the duplication formula 2 1 − s F ( s ; q ) = F ( s , q 2...
- series, and various other forms. It is intimately connected with the polylogarithm, inverse tangent integral, polygamma function, Riemann zeta function...
- resembles the Dirichlet series for the polylogarithm, and, indeed, is trivially expressible in terms of the polylogarithm as χ ν ( z ) = 1 2 [ Li ν ⁡ ( z )...
- where Li s ⁡ ( z ) {\displaystyle \operatorname {Li} _{s}(z)} is the polylogarithm. Its derivative is d F j ( x ) d x = F j − 1 ( x ) , {\displaystyle...