Hi, I have and integral its results contains Beta function and hypergeometric function.
I found a difficulty to program the hypergeometric function with Maple 13. is any one can solve this problem
where
∫₀^{(π/2)}((sin^{α}xcos^{β}x)/(√(1-k²sin²x)))dx=(1/2)B(((α+1)/2),((β+1)/2))F(((α+1)/2),(1/2);((α+β+2)/2);k²),α>-1,β>-1,∣k∣<1
The problem in written the following function F(((α+1)/2), (1/2); ((α+β+2)/2); k²)
