Mathlean · Online math workspace

Polylogarithm calculator

Evaluate the polylogarithm of a specified order and argument.

How to use this calculator

Edit PolyLog(s,z). Order 2 is the dilogarithm; the example evaluates it at 0.5.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

PolyLog⁡(2,0.5)\operatorname{PolyLog}\left(2,0.5\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Outside the defining power-series disk, analytic continuation and branch conventions matter.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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