# Complex variable

Which of the following is an analytic function of the the complex variable z = x+iy in the domain lzl <2 ?

(3+x-iy)^7
[(1+x+iy)^4]*[(7-x-iy)^3]
[(1-2x-iy)^4]*[(3-x-iy)^3]
(x+iy-1)^1/2