Akyel, Tuba2024-07-122024-07-1220211225-17632234-302410.4134/CKMS.c2003362-s2.0-85123893329https://doi.org/10.4134/CKMS.c200336https://hdl.handle.net/20.500.12415/7144We consider a different version of Schwarz Lemma for lambda-spirallike function of complex order at the boundary of the unit disc D: We estimate the modulus of the angular derivative of the function zf'(z)/f(z) from below for lambda-spirallike function f (z) of complex order at the boundary of the unit disc D by taking into account the zeros of the function f(z) - z which are different from zero. We also estimate the same function with the second derivatives of the function f at the points z = 0 and z = z(0) not equal 0: We show the sharpness of these estimates and present examples.eninfo:eu-repo/semantics/closedAccessAngular DerivativeHolomorphic FunctionLambda-Spirallike FunctionSchwarz LemmaArticle7574Q374336WOS:000714891900008N/A