Special functions - Hypergeometric series

Post a=? b=? c=? below or any problems with video. Thanks

Category:

Education

Tags:

• special
• functions
• hypergeometric
• series

[groverpops]

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

[geometrikal]

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

[onta1988]

awesome