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Vector Analysis Package Symbol

Biharmonic

Biharmonic[f]
gives the biharmonic,

⁴f, of the scalar function f in the default coordinate system.

Biharmonic[f, coordsys]
gives the biharmonic of f in the coordinate system coordsys.

To use Biharmonic, you first need to load the Vector Analysis Package using Needs["VectorAnalysis`"].

Needs["VectorAnalysis`"]

Biharmonic of a function in the default Cartesian coordinate system:

Needs["VectorAnalysis`"]

Expression for the biharmonic in cylindrical coordinates: