SCHWARZ LEMMA AND ITS APPLICATIONS ON THE UNIT DISC
Özet
In this article, a refinement of the Schwarz lemma (boundary Schwarz lemma) is presented for a different class. For the analytic function) p(z) = z+b2 z2 +b3 z3 +…, defined in the unit disc U satisfying (Formula Presented) for z ∈ U, where r, s ∈ C, r ≠ s, |r| ≤ 1, |s| ≤ 1, we estimate a module of angular derivative at the boundary point 1with p(r) = p(s). The sharpness of these estimates is also proved. © 2024, Canadian University of Dubai. All rights reserved.
