jax.scipy.special.sici#

jax.scipy.special.sici = <jax._src.custom_derivatives.custom_jvp object>[source]#

Sine and cosine integrals.

JAX implementation of scipy.special.sici.

\[\mathrm{Si}(x) = \int_0^x \frac{\sin t}{t} \, dt\]
\[\mathrm{Ci}(x) = \gamma + \ln(x) + \int_0^x \frac{\cos t - 1}{t} \, dt\]

where \(\gamma\) is the Euler–Mascheroni constant.

Parameters:

x (ArrayLike) – array-like, real-valued input.

Returns:

  • The first array contains the sine integral values Si(x).

  • The second array contains the cosine integral values Ci(x).

Return type:

A tuple of two arrays, each with the same shape as x

See also