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

Voir la notice de l'article provenant de la source Cambridge University Press

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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