Geodesic
Asymptotic behavior of fractional derivatives of bounded analytic functions
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 13 (2017) no. 2, pp. 107-118 
I. Chyzhykov; Yu. Kosaniak. Asymptotic behavior of fractional derivatives of bounded analytic functions. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 13 (2017) no. 2, pp. 107-118. http://geodesic.mathdoc.fr/item/JMAG_2017_13_2_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We find sharp sufficient conditions for the boundedness of fractional derivatives of a bounded analytic function in a Stolz angle. If $F\neq0$ in the unit disc, the necessary and sufficient conditions for the boundedness of fractional derivatives of its argument in a Stolz angle are established.

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