Description Usage Arguments Value Examples
Calculates the value of
E_1(ix) = \int_1^∞ \frac{e^{-ixt}}{t} \mathrm{d}t
using its relation to the trigonometric integrals (cf. https://en.wikipedia.org/wiki/Exponential_integral#Exponential_integral_of_imaginary_argument):
E_1(ix) = i ≤ft[ -\frac{1}{2} π + Si(x) \right] - Ci(x)
and their Pad\'e approximants (cf. https://en.wikipedia.org/wiki/Trigonometric_integral#Efficient_evaluation)
1 | E1_imaginary(x)
|
x |
A non-negative number |
The exponential integral of argument ix
1 | E1_imaginary(1.0)
|
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