I've been looking into summation regularizations, and I'm genuinely confused on why something that is Abel summable is not Borel summable? They both seem to be the same formula, then what is the difference?
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1Could you provide definitions? – Gary Jan 16 '23 at 11:42
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@Gary My question is that Cesaro, Borel, and Abel regularizations seem to be mostly applicable for the same type of summations and give the same results most of the time, so is there really any difference in the methods and are there any examples where the solutions they give are different? – Tsar Asterov XVII Jan 16 '23 at 11:46