Geodesic
Tauberian Theorems for Borel-Type Methods of Summability
Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 167-173

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Suppose throughout that s, a n (n=0,1, 2,...) are arbitrary complex numbers, that α>0 and β is real and that N is a non-negative integer such that αN+β≧l. Let where z=x+iy is a complex variable and the power z r is assumed to have its principal value. 
Borwein, D.; Smet, E. Tauberian Theorems for Borel-Type Methods of Summability. Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 167-173. doi: 10.4153/CMB-1974-034-1
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     author = {Borwein, D. and Smet, E.},
     title = {Tauberian {Theorems} for {Borel-Type} {Methods} of {Summability}},
     journal = {Canadian mathematical bulletin},
     pages = {167--173},
     year = {1974},
     volume = {17},
     number = {2},
     doi = {10.4153/CMB-1974-034-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-034-1/}
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