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WhittakerW

WhittakerW
gives the Whittaker function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • WhittakerW is related to the confluent hypergeometric function by .
  • is infinite at for integer .
  • For certain special arguments, WhittakerW automatically evaluates to exact values.
  • WhittakerW can be evaluated to arbitrary numerical precision.
  • 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:
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Click for copyable input
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Plot :
In[1]:=
Click for copyable input
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Use FunctionExpand to expand in terms of hypergeometric functions:
In[1]:=
Click for copyable input
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:
TraditionalForm formatting:
Green's function of the 3D Coulomb potential:
Use FunctionExpand to expand WhittakerW into other functions:
Integrate expressions involving Whittaker functions:
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