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Region of variability for spiral-like functions with respect to a boundary point
Date Issued
01-01-2009
Author(s)
Abstract
For µ ε C such that Re µ > 0 let Fµ denote the class of all non-vanishing analytic functions f in the unit disk D with f(0) = 1 and (Formula presented.) For any fixed z0 in the unit disk, α ϵ C with \α\ 1 and λ ϵ D, we shall determine the region of variability V (z0; λ) for log f(z0) when f ranges over the class (Formula presented.) In the final section we graphically illustrate the region of variability for several sets of parameters.
Volume
116