### Abstract

This entry provides the definitions and basic properties of the complex and real error function erf and the complementary error function erfc. Additionally, it gives their full asymptotic expansions.

### License

BSD License

### Topics

- Mathematics/Analysis

### Session Error_Function

- Error_Function
- Error_Function_Asymptotics

### Depends on

- Landau Symbols

## Cite

×

Error_Function-AFP

    @article{Error_Function-AFP,
      author  = {Manuel Eberl},
      title   = {The Error Function},
      journal = {Archive of Formal Proofs},
      month   = {February},
      year    = {2018},
      note    = {\url{https://isa-afp.org/entries/Error_Function.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

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