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Erfi

Erfi[z]
gives the imaginary error function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For certain special arguments, Erfi automatically evaluates to exact values.
  • Erfi can be evaluated to arbitrary numerical precision.
  • Erfi automatically threads over lists.
Evaluate numerically:
Series expansion about the origin:
Evaluate numerically:
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Series expansion about the origin:
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Evaluate for complex arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Simple exact values are generated automatically:
Parity transformation is automatically applied:
Erfi threads element-wise over lists:
Erfi can be applied to a power series:
Infinite arguments give symbolic results:
Solve a differential equation:
An isothermal solution of the force-free Vlasov equation:
Integrating over the particle velocities gives the marginal distribution for the particle density:
A solution of the time-dependent Schrödinger equation for the sudden opening of a shutter:
Verify correctness:
This plots the time-dependent solution:
The imaginary error function for large imaginary-part arguments can be very close to :
For large arguments, intermediate values may overflow:
Use DawsonF:
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