Source: wikibot/incomplete-polylogarithm
= Incomplete polylogarithm
{wiki=Incomplete_polylogarithm}
The incomplete polylogarithm is a generalization of the polylogarithm function, which is defined as: \\\[ \\text\{Li\}_s(z) = \\sum_\{n=1\}^\{\\infty\} \\frac\{z^n\}\{n^s\} \\\] for complex numbers \\( z \\) and \\( s \\). The series converges for \\( |z| \< 1 \\), and can be analytically continued beyond this radius of convergence.