jax.scipy.special.exp1

jax.scipy.special.exp1(x)[source]

Exponential integral E1.

LAX-backend implementation of exp1().

Original docstring below.

For complex \(z \ne 0\) the exponential integral can be defined as 1

\[E_1(z) = \int_z^\infty \frac{e^{-t}}{t} dt,\]

where the path of the integral does not cross the negative real axis or pass through the origin.

Returns

Values of the exponential integral E1

Return type

scalar or ndarray

References

1

Digital Library of Mathematical Functions, 6.2.1 https://dlmf.nist.gov/6.2#E1