- electrodynamics,
polylogarithms of
positive integer order arise in the
calculation of
processes represented by higher-order
Feynman diagrams. The
polylogarithm function...
- {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...
- In mathematics, the
Incomplete Polylogarithm function is
related to the
polylogarithm function. It is
sometimes known as the
incomplete Fermi–Dirac integral...
- MR 0239733.
Leonard Lewin, (Ed.).
Structural Properties of
Polylogarithms (1991)
American Mathematical Society, Providence, RI. ISBN 0-8218-4532-2...
- _{n}(-z)\right].} Lewin, Leonard, ed. (1991),
Structural Properties of
Polylogarithms, Providence, RI:
American Mathematical Society, ISBN 0-8218-4532-2....
-
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...
- 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...
- 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...
- 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...
