Abstract
The main purpose of this paper is to obtain sharp bounds of the norm of Schwarzian derivative for convex mappings of order alpha in terms of the value of $$f''(0)$$ , in particular, when this quantity is equal to zero. In addition, we obtain sharp bounds for distortion and growth for this mappings and we generalize the results obtained by Suita (J Hokkaido Univ Ed Sect II A 46(2):113–117, 1996) and Yamashita (Hokkaido Math J 28:217–230, 1999) for this particular case.
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