- 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...
- 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...
-
Polylogarithm and
related functions:
Incomplete polylogarithm Clausen function Complete Fermi–Dirac integral, an
alternate form of the
polylogarithm....
-
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...
-
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 )...
- (disambiguation),
rivers in
China and
Thailand Long Island, New York Li, the
polylogarithm function Li, the
logarithmic integral function <li></li>, indicating...
-
formulas for
special values of
Dedekind zeta
functions in
terms of
polylogarithm functions. He
discovered a
short and
elementary proof of Fermat's theorem...
- {\displaystyle j} . This is an
alternate definition of the
incomplete polylogarithm, since: F j ( x , b ) = 1 Γ ( j + 1 ) ∫ b ∞ t j e t − x + 1 d t =...
