I solved a particularly nasty integral whereby the solution contained an avatar of the Gaussian hypergeometric series with the negative of a square of a periodic function as the variabe input. Good Video. Thanks
groverpops 3 months ago
I solved the integral of something that contained a bessel function, and part of the solution is a gaussian hypergeometric series like this:
2F1[ (u+v)/2, (u+v+1)/2; v+1; -x^2 ]
I put this into wolfram alpha and experiemented with nice values like u = 3, v = 1, etc and got a nice small expression.
e.g. u = 5, v = 1 gives (4-3x^2)/(4(x^2+1)^(9/2))
I thought the series went on for ever?
Whats going on here?
thansk
geometrikal 4 months ago
awesome
onta1988 5 months ago
I solved a particularly nasty integral whereby the solution contained an avatar of the Gaussian hypergeometric series with the negative of a square of a periodic function as the variabe input. Good Video. Thanks
groverpops 3 months ago
I solved the integral of something that contained a bessel function, and part of the solution is a gaussian hypergeometric series like this:
2F1[ (u+v)/2, (u+v+1)/2; v+1; -x^2 ]
I put this into wolfram alpha and experiemented with nice values like u = 3, v = 1, etc and got a nice small expression.
e.g. u = 5, v = 1 gives (4-3x^2)/(4(x^2+1)^(9/2))
I thought the series went on for ever?
Whats going on here?
thansk
geometrikal 4 months ago
awesome
onta1988 5 months ago