Örnek, Bülent NafiAkyel, Tuğba2024-07-122024-07-122019Örnek, B. N., Akyel, T. (2019). Some results for a certain class of holomorphic functions at the boundary of the unit disc. International Conference of Mathematical Sciences. s. 030030(1)-030030(3).978-0-7354-1816-510.1063/1.5095115https://aip.scitation.org/doi/10.1063/1.5095115https://doi.prg/10.1063/1.5095115https://hdl.handle.net/20.500.12415/1867We consider a version of the boundary Schwarz Lemma on a certain class which is denoted by K(?). For the function f(z) = z + c2z2 + c3z3 + ... defined in the unit disc E such that the function f(z) belongs to the class K(?), we estimate from below the modulus of the angular derivative of the function z f (z) f(z) at the boundary point b with b f (b) f(b) = 1 1+? . Moreover, we get Schwarz Lemma for the class K(?). We also investigate some inequalities obtained in terms of sharpness.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessSchwarz lemmaHolomorphic functionJack’s lemmaAngular derivativeSome results for a certain class of holomorphic functions at the boundary of the unit discArticle030030-3030030-1WOS:000472950300035N/A