Digital Object Identifier (DOI)
The standard definition of a close-to-convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the class, explicit reasons for this fact seem to be lacking in the literature. Our purpose is to fill this gap, and in so doing we are lead to a new coefficient problem which is solved for n=2, but is open for n>2.
This work is licensed under a Creative Commons Attribution 3.0 License.
Was this content written or created while at USF?
Citation / Publisher Attribution
International Journal of Mathematics and Mathematical Sciences, v. 1, art. 982173
Scholar Commons Citation
Goodman, A. W. and Saff, E. B., "On the Definition of a Close-to-Convex Function" (1978). Mathematics and Statistics Faculty Publications. 77.