Definition of Polylogarithms. Meaning of Polylogarithms. Synonyms of Polylogarithms

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

Definition of Polylogarithms

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Meaning of Polylogarithms from wikipedia

- electrodynamics, polylogarithms of positive integer order arise in the calculation of processes represented by higher-order Feynman diagrams. The polylogarithm function...
- In mathematics, the incomplete polylogarithm function is related to the polylogarithm function. It is sometimes known as the incomplete Fermi–Dirac integral...
- {z^{k}}{k^{n}}}} The following is a useful property to calculate low-integer-order polylogarithms recursively in closed form: d d z Li n ⁡ ( z ) = Li n − 1 ⁡ ( z ) z...
- _{n}(-z)\right].} Lewin, Leonard, ed. (1991), Structural Properties of Polylogarithms, Providence, RI: American Mathematical Society, ISBN 0-8218-4532-2....
- MR 0239733. Leonard Lewin, (Ed.). Structural Properties of Polylogarithms (1991) American Mathematical Society, Providence, RI. ISBN 0-8218-4532-2...
- at the 1994 International Congress of Mathematicians and gave a talk Polylogarithms in arithmetic and geometry. In 2019, Goncharov was appointed the Philip...
- Bk appearing in the series for tanh x are the Bernoulli numbers. The polylogarithms have these defining identities: Li 2 ( x ) = ∑ n = 1 ∞ 1 n 2 x n Li...
- (1997). "Continued-fraction expansions for the Riemann zeta function and polylogarithms". Proc. Amer. Math. Soc. 125 (9): 2543–2550. doi:10.1090/S0002-9939-97-04102-6...
- 1007/978-1-4612-0457-2_18. ISBN 978-1-4612-6769-0. Zagier, Don (1991). "Polylogarithms, Dedekind Zeta Functions, and the Algebraic K-Theory of Fields". Arithmetic...
- algebraic geometry as differential forms with logarithmic poles. The polylogarithm is the function defined by Li s ⁡ ( z ) = ∑ k = 1 ∞ z k k s . {\displaystyle...