# Module: tf.math.special

<br />

Public API for tf.math.special namespace.

## Functions

[`bessel_i0(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/bessel_i0): Computes the Bessel i0 function of `x` element-wise.

[`bessel_i0e(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/bessel_i0e): Computes the Bessel i0e function of `x` element-wise.

[`bessel_i1(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/bessel_i1): Computes the Bessel i1 function of `x` element-wise.

[`bessel_i1e(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/bessel_i1e): Computes the Bessel i1e function of `x` element-wise.

[`bessel_j0(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/bessel_j0): Computes the Bessel j0 function of `x` element-wise.

[`bessel_j1(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/bessel_j1): Computes the Bessel j1 function of `x` element-wise.

[`bessel_k0(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/bessel_k0): Computes the Bessel k0 function of `x` element-wise.

[`bessel_k0e(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/bessel_k0e): Computes the Bessel k0e function of `x` element-wise.

[`bessel_k1(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/bessel_k1): Computes the Bessel k1 function of `x` element-wise.

[`bessel_k1e(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/bessel_k1e): Computes the Bessel k1e function of `x` element-wise.

[`bessel_y0(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/bessel_y0): Computes the Bessel y0 function of `x` element-wise.

[`bessel_y1(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/bessel_y1): Computes the Bessel y1 function of `x` element-wise.

[`dawsn(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/dawsn): Computes Dawson's integral of `x` element-wise.

[`expint(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/expint): Computes the Exponential integral of `x` element-wise.

[`fresnel_cos(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/fresnel_cos): Computes Fresnel's cosine integral of `x` element-wise.

[`fresnel_sin(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/fresnel_sin): Computes Fresnel's sine integral of `x` element-wise.

[`spence(...)`](https://www.tensorflow.org/versions/r2.13/api_docs/python/tf/math/special/spence): Computes Spence's integral of `x` element-wise.