Difference between revisions of "Sine integral"

From specialfunctionswiki
Jump to: navigation, search
(Properties)
Line 12: Line 12:
  
 
=Properties=
 
=Properties=
 +
[[Derivative of sine integral]]<br />
 +
[[Antiderivative of sine integral]]<br />
 
[[Relationship between exponential integral Ei, cosine integral, and sine integral]]<br />
 
[[Relationship between exponential integral Ei, cosine integral, and sine integral]]<br />
  

Revision as of 19:44, 10 December 2016

The sine integral is defined by $$\mathrm{Si}(z) = \displaystyle\int_0^z \mathrm{sinc}(t) \mathrm{d}t, \quad |\mathrm{arg} z|<\pi,$$ where $\mathrm{sinc}$ denotes the sinc function.

Properties

Derivative of sine integral
Antiderivative of sine integral
Relationship between exponential integral Ei, cosine integral, and sine integral

Videos

Laplace Transform of Sine Integral

References

$\ast$-integral functions