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| [![](https://www.tensorflow.org/images/GitHub-Mark-32px.png) View source on GitHub](https://github.com/tensorflow/probability/blob/v0.25.0/tensorflow_probability/python/math/special.py#L1147-L1166) |

Computes the scaled complementary error function exp(x\*\*) \* erfc(x).

    tfp.math.erfcx(
        x, name=None
    )

### Used in the notebooks

| Used in the tutorials |
|---|
| - [TFP Release Notes notebook (0.13.0)](https://www.tensorflow.org/probability/examples/TFP_Release_Notebook_0_13_0) |

# References

\[1\] M. Shepherd and J. Laframboise,
Chebyshev approximation of (1 + 2 \* x) \* exp(x\*\*2) \* erfc(x)
<https://www.ams.org/journals/mcom/1981-36-153/S0025-5718-1981-0595058-X/>

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| ## Args ||
|---|---|
| `x` | A Tensor with type `float32` or `float64`. |
| `name` | A name for the operation (optional). |

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| ## Returns ||
|---|---|
| `erfcx` | erfcx(x) evaluated at `x`. A Tensor with the same shape and same dtype as `x`. |

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