- 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...
- _{n}(-z)\right].} Lewin, Leonard, ed. (1991),
Structural Properties of
Polylogarithms, Providence, RI:
American Mathematical Society, ISBN 0-8218-4532-2....
- {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...
- 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...
-
Polylogarithm and
related functions:
Incomplete polylogarithm Clausen function Complete Fermi–Dirac integral, an
alternate form of the
polylogarithm....
- 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...
- (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...
- (disambiguation),
rivers in
China and
Thailand Long Island, New York Li, the
polylogarithm function Li, the
logarithmic integral function <li></li>, indicating...
- 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...
