jax.scipy.special.expi#
- jax.scipy.special.expi(x) = <jax._src.custom_derivatives.custom_jvp object>[source]#
Exponential integral Ei.
LAX-backend implementation of
scipy.special.expi().Original docstring below.
For real \(x\), the exponential integral is defined as [1]
\[Ei(x) = \int_{-\infty}^x \frac{e^t}{t} dt.\]For \(x > 0\) the integral is understood as a Cauchy principal value.
It is extended to the complex plane by analytic continuation of the function on the interval \((0, \infty)\). The complex variant has a branch cut on the negative real axis.
- Parameters:
x (array_like) – Real or complex valued argument
- Returns:
Values of the exponential integral
- Return type:
scalar or ndarray
References