I had five back in the mid 90's , they were just called, "blue" iguanas. They were subadults, and they looked like yours for a few months. By the end of 1 year, they all looked like normal green iguanas. Never did learn how the wholesalers make them look so blue, It was a successful tactic to sell more iguanas.

http://www.anapsid.org/iguana/skincolor.html