Another problem with integral
This is a follow-up to 'Problem with integral' which is a follow-up of 'Problem with hypergeometric'. I am still trying to solve the same basic problem with Sage and I am just reporting what I am experiencing.
F = lambda z: (1/pi)*integral((x-1)^z*sqrt(1/x-1/4), x,0,4) print F(1/2).n()
print F(3/2).n() 0.509025648974361 Exception ValueError: ValueError('negative number to a fractional power not real',) in 'sage.gsl.integration.c_ff' ignored [The error message some 20 times.]
F := z -> (1/Pi)*int((x-1)^z*sqrt(1/x-1/4), x=0..4); evalf(F(1/2)); 0.3697166867 + 0.4838248688*I evalf(F(3/2)); 0.5090256475 - 0.3669993270 I