Wolfram Research

Function Repository Resource:

PolyGammaSimplify

Source Notebook

Simplify polygamma functions in an expression

Contributed by: Wolfram Research

ResourceFunction["PolyGammaSimplify"][expr]

transforms polygamma functions in expr, trying to either decrease the number of polygamma functions or convert combinations of them into more elementary functions.

Details and Options

A function that is essentially equivalent to ResourceFunction["PolyGammaSimplify"] is used inside FullSimplify and FunctionExpand.

Examples

Basic Examples

Simplify an expression involving polygamma functions:

In[1]:=
ResourceFunction["PolyGammaSimplify"][
 PolyGamma[0, -z] - PolyGamma[0, z]]
Out[1]=

Requirements

Wolfram Language 11.3 (March 2018) or above

Resource History

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