Abstract
Let Lf(r)={w=f(x), |z|=r}, 1 < r < ∞, be a level line of the function f(z) ∃ σ. Sharp upper bounds are obtained for the diameter of the curve Lf(r) in the class σ(Τ) for functions f(z)=z+α0+α1z-1+... ∃ σ for which there exists a domain δf that complements the exterior of the unit disk and has conformal radius at the point w=0 satisfying the condition R(δf,0) ≥ Τ, 0 < Τ < 1. Also, a set of values is found for the coefficient α1 in the class σ(Τ).
Original language | English |
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Pages (from-to) | 2152-2161 |
Number of pages | 10 |
Journal | Journal of Mathematical Sciences |
Volume | 70 |
Issue number | 6 |
DOIs | |
State | Published - Aug 1994 |