[Scilab-users] Sine integral

Federico Miyara fmiyara at fceia.unr.edu.ar
Wed Feb 5 03:50:14 CET 2020



Sorry for the typo, I meant sin(x)/x, i.e., the sinc function.


On 04/02/2020 23:42, Federico Miyara wrote:
>
> Dear All,
>
> Is there a primitive implementing the sine(x)/x indefinite integral 
> (called sine integral, Si)?
>
> I couldn't find it either among the special functions or trigonometric 
> functions collections. It is an important function in signal 
> processing (for instance a non-aliased rectangular pulse requires Si).
>
> I know it would be possible to find the value for given x using 
> integrate or intg, but I'm sure it would be much more efficient to use 
> an approximation such as a Taylor series combined perhaps with an 
> asymptotic approximation, than to massively compute a definite 
> integral for each single value.
>
> Regards,
>
> Federico Miyara
>
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