Problem with hypergeometric
A = lambda z: exp(I*pi*z)*hypergeometric([-z,1/2],[2],4).simplify_hypergeometric()
print A(1/2)
-1/2sqrt(3)assoc_legendre_p(1/2, -1, -5/3)
print (-1/2*sqrt(3)*assoc_legendre_p(1/2, -1, -5/3)).n()
name 'assoc_legendre_p' is not defined
print A(1/2).n()
TypeError: cannot evaluate symbolic expression numerically
Question: Which option do I have except to switch over to Maple?
A := z -> exp(I*Pi*z)*hypergeom([-z,1/2],[2],4):
evalf(A(1/2)); -0.3697166872 + 0.4838437556 I
http://trac.sagemath.org/ticket/16813 is already in the works for some time.
Thanks Ralf! Indeed I have another option: To try a different formula. I will report -- stay tuned!