Univalent mappings associated with the Roper-Suffridge extension operator

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The generalized Roper-Suffridge extension operator (2003, background): “Whenn= 2, ε = 1, Theorem A solved the open problem of Graham and Kohr [2]. answer is affirmative, and it holds true for any 2.”
Asymptotically spirallike mappings in several complex variables (2008, background): “Roper and Suffridge proved that this operator preserves convexity, i.e., if f is convex on U , then �n(f) is a convex mapping on B n . Graham and Kohr [ 12 ] proved that �n also preserves starlikeness, i.e., if f 2 S � , then �n(f) 2 S � (B n ).”
On the roper-suffridge extension operator (2002, background): “... extension operator has remarkable properties: (i) If f is a normalized convex function on D, then F is a normalized convex mapping on Bn; (ii) if f is a normalized starlike function on D, then F is a normalized starlike mapping on Bn; (iii) if f is a normalized Bloch function on D, then F is a n”
A class of Loewner chain preserving extension operators (2008, unknown): “We note that this result was developed independently by Kohr in a recent paper [8].”