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polylogarithm |
exponential |
last updated: 2003-07-20 |
The polylogarithm function
Li n(x) is a generalization of the logarithm:
the generalized logarithm. It has also been given the name of Jonquière's
function.
Special cases:
- n = 1: the function equivalent to the logarithm.
- n = 2: the dilogarithm.
Li 2 (1 - x) is also known as Spence's integral 1). - n<= 0: we see a polynomial in x divided by (1-x) i
The function is found in the study of elementary particle physics in Feynman diagram integrals.
The function can be generalized as the Lerch transcendent.
notes
1) As
