Mathlean · Online math workspace

Polygamma function calculator

Evaluate higher derivatives of the logarithmic Gamma function.

How to use this calculator

Edit PolyGamma(order,argument). Order 1 is trigamma; at argument 1 the value is pi squared over 6.

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

PolyGamma⁡(1,1)\operatorname{PolyGamma}\left(1,1\right)

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

What to know

Use a nonnegative derivative order and avoid poles. Order zero corresponds to digamma.

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

Browse all calculators and editors