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BUILT-IN MATHEMATICA SYMBOL

WhittakerW

gives the Whittaker function

For certain special arguments, WhittakerW automatically evaluates to exact values.

WhittakerW has a branch cut discontinuity in the complex plane running from to .

Evaluate numerically:

Plot

Use FunctionExpand to expand in terms of hypergeometric functions:

Evaluate numerically:

Out[1]=

Plot

Out[1]=

Use FunctionExpand to expand in terms of hypergeometric functions:

Out[1]=

Evaluate for complex arguments and parameters:

Evaluate to high precision:

The precision of the output tracks the precision of the input:

Evaluate symbolically at the origin:

WhittakerW threads element-wise over lists:

Series expansion:

Green's function of the 3D Coulomb potential:

Use FunctionExpand to expand WhittakerW into other functions:

Integrate expressions involving Whittaker functions: