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    SOME REMARKS FOR ?-SPIRALLIKE FUNCTION OF COMPLEX ORDER AT THE BOUNDARY OF THE UNIT DISC
    (Korean Mathematical Soc, 2021) Akyel, Tuba
    We 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.