A global analytic critical equations of state

We propose a general form for global analytic equations of state for which close to critical points, the correct universality and scaling behavior is guaranteed. A consequence of the construction is that the generally accepted belief that the dependent scaling field cannot be written as an explicit function of the relevant scaling fields without causing strongly singular behavior of the thermodynamic potential in the one-phase region, while in agreement with the state of the art in the past, is no longer correct.