On close-to-convex functions of complex order
The authors study some multiparametrized families of analytic function of the unit disk, and give some coefficients and distortion results. Neither are the authors aware that their definitions do not include the usual class of close-to-convex functions for \(b=1\) and \(n=0\) as they define their functions with the aid of a normalized starlike function, and so Remark 2.2 does not apply, nor are all theorems stated correctly, e.g. is Theorem 2.1 not sharp as stated if b is not real and positive.
scientific article; zbMATH DE number 4150585