# New integral representations of the polylogarithm function

@article{Cvijovic2006NewIR, title={New integral representations of the polylogarithm function}, author={Djurdje Cvijovic}, journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, year={2006}, volume={463}, pages={897 - 905} }

Maximon has recently given an excellent summary of the properties of the Euler dilogarithm function and the frequently used generalizations of the dilogarithm, the most important among them being the polylogarithm function Lis(z). The polylogarithm function appears in several fields of mathematics and in many physical problems. We, by making use of elementary arguments, deduce several new integral representations of the polylogarithm Lis(z) for any complex z for which |z|<1. Two are valid for…

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