- 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...
- 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...
-
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...
-
Polylogarithm and
related functions:
Incomplete polylogarithm Clausen function Complete Fermi–Dirac integral, an
alternate form of the
polylogarithm....
-
resembles the
Dirichlet series for the
polylogarithm, and, indeed, is
trivially expressible in
terms of the
polylogarithm as χν(z)=12[Liν(z)−Liν(−z)].{\displaystyle...
-
special function that
generalizes the
Hurwitz zeta
function and the
polylogarithm. It is
named after Czech mathematician Mathias Lerch, who published...
- _{j+1}(-e^{x}),}
where Lis(z){\displaystyle \operatorname {Li} _{s}(z)} is the
polylogarithm. Its
derivative is dFj(x)dx=Fj−1(x),{\displaystyle {\frac {dF_{j}(x)}{dx}}=F_{j-1}(x)...
-
polygamma function. Lis(z){\displaystyle \operatorname {Li} _{s}(z)} is a
polylogarithm. (nk){\displaystyle n \choose k} is
binomial coefficient exp(x){\displaystyle...
- (disambiguation),
rivers in
China and
Thailand Long Island, New York Li, the
polylogarithm function Li, the
logarithmic integral function <li></li>, indicating...