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

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@article{DM_2012_24_2_a10,
     author = {V. A. Topchii},
     title = {The asymptotic behaviour of derivatives of the renewal function for distributions with infinite first moment and regularly varying tails of index $\beta\in(1/2,1]$},
     journal = {Diskretnaya Matematika},
     pages = {123--148},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2012_24_2_a10/}
}
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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/