- In mathematics, the
dilogarithm (or Spence's function),
denoted as Li2(z), is a
particular case of the polylogarithm. Two
related special functions are...
- Li1(z) = −ln(1−z),
while the
special cases s = 2 and s = 3 are
called the
dilogarithm (also
referred to as Spence's function) and
trilogarithm respectively...
- In mathematics, the
quantum dilogarithm is a
special function defined by the
formula ϕ ( x ) ≡ ( x ; q ) ∞ = ∏ n = 0 ∞ ( 1 − x q n ) , | q | < 1 {\displaystyle...
- Askey–Wilson operators. The q-exponential is also
known as the
quantum dilogarithm. The q-exponential e q ( z ) {\displaystyle e_{q}(z)} is
defined as e...
- _{2}(y^{2}){\biggr ]}_{y=0}^{y=1}={\frac {3}{2}}\,\mathrm {Li} _{2}(1)} For the
Dilogarithm of one this
value appears: L i 2 ( 1 ) = π 2 6 {\displaystyle \mathrm...
- \xi (z)=\xi (1-z).} Weisstein, Eric W. "
Dilogarithm". mathworld.wolfram.com.
Retrieved 2024-08-01. "
Dilogarithm Reflection Formula - ProofWiki". proofwiki...
- Equivalently, it can be
defined by a
power series, or in
terms of the
dilogarithm, a
closely related special function. The
inverse tangent integral is...
- 1995 for
hyperbolic links as a
state sum
using the
theory of
quantum dilogarithms.
Kashaev stated the
formula of the
volume conjecture in the case of hyperbolic...
-
Complete Fermi–Dirac integral, an
alternate form of the polylogarithm.
Dilogarithm Incomplete Fermi–Dirac
integral Kummer's
function Riesz function Hypergeometric...
- L_{2}(x)=-\int _{0}^{x}{\frac {\ln(1-t)}{t}}\operatorname {d} \!t} (the
dilogarithm) to nine
decimal places, in a table, for all
integer values of 1 + x...
