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Talk:Gompertz constant

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Latest comment: 2 years ago by Crisófilax in topic Regularized sum

Regularized sum

[edit]

What sort of regularization? Is it Ramanujan summation, Cesàro summation, Borel summation, something else?

The Michael Penn video at https://www.youtube.com/watch?v=W-FBMPS-fJg gives a proof. In short, you define a function which gives the series at x=1, derive a first order linear differential equation which you then solve and evaluate at 1. Chalisque (talk) 13:07, 19 December 2023 (UTC)Reply

Mathematica gives the Borel regularization , which is consistent with an integral formula for the constant. Crisófilax (talk) 18:36, 6 September 2024 (UTC)Reply