The Sine Integral is a very important function in Physics, Astronomy, Electrodynamics, Mathematical Physics,Optics and Signal Processing.
A fundamental result in the sine integral is;
This result is analytically proven using contour integrals concept from complex theory.
TRYING IT IN MATLAB
MATLAB gives excellent results, particularly for the special case of (0-inf )it gives correct value.
TRYING IT IN SCIPY
REFERENCES
(1) sici
(2) sine integral
A fundamental result in the sine integral is;
This result is analytically proven using contour integrals concept from complex theory.TRYING IT IN MATLAB
MATLAB gives excellent results, particularly for the special case of (0-inf )it gives correct value.
TRYING IT IN SCIPY
In Scipy the sine integral (and the cosine integral) is via (si,ci) = sici function. It yields excellent values for numbers, however for infinity it yields nan (not a number). This should probably be corrected with an exception in the sici module.
It is worth noting that for sufficiently high values (which tend to infinity) the desired result of 1.57.... ( = pi/2) is obtained, which confirms the numerical evaluation is correct
It is worth noting that for sufficiently high values (which tend to infinity) the desired result of 1.57.... ( = pi/2) is obtained, which confirms the numerical evaluation is correct
REFERENCES
(1) sici
(2) sine integral
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