Geodesic
The asymptotic behaviour of derivatives of the renewal function for distributions with infinite first moment and regularly varying tails of index $\beta\in(1/2,1]$
Diskretnaya Matematika, Tome 24 (2012) no. 2, pp. 123-148 
V. A. Topchii. The asymptotic behaviour of derivatives of the renewal function for distributions with infinite first moment and regularly varying tails of index $\beta\in(1/2,1]$. Diskretnaya Matematika, Tome 24 (2012) no. 2, pp. 123-148. http://geodesic.mathdoc.fr/item/DM_2012_24_2_a10/
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