Region of Variability of a Subclass of Starlike Univalent Functions
Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2015, Vol 2, Issue 2
Abstract
Let R denote the class of all analytic univalent functions f(z) in the unit disk ∆ with f(0)=f^' (0)=1 and (zf^' (z))/(f(z)) is starlike. For any fixed z_0 in the unit disk and λ ∈ ∆ ̅, we determine the region of variability V(z_0,λ) for log (f^( ') (z_0))/(f(z_0)) when f ranges over the class R(λ)={f ∈R∶ f^'' (0)= 2λ+ 1 }.
Authors and Affiliations
S. Sunil Varma, Thomas Rosy
Keywords
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