Estimate for p-valently Functions at the Boundary
Abstract
In this paper, a boundary version of the Schwarz lemma for classesM(p) is investigated. For the function f(z) = zp +ap+1zp+1 +cp+2zp+2 +::: dened in the unit disc D = fz : jzj < 1g such that f(z) 2M(p), we estimate a modulus of the angular derivative of f(z) function at the boundary point b with f′(b) = 0. The sharpness of these inequalities is also proved.
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