Necessary and sufficient conditions for univalent functions: An International Journal

Let A{script} be the class of analytic functions in the unit disc with the normalization f (0) = f ′(0)-1 = 0. This article analyses various necessary and sufficient coefficient conditions for functions f ∈ A of the form to be univalent. We present an interesting class of univalent functions associated with the zeta function and also pose an open problem. © 2013 Copyright Taylor and Francis Group, LLC.