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+--- Thread: When Does \(\displaystyle\int_{-1}^0\text{sexp}(x)\,\mathrm{d}x\) Equal \(\frac12\)? (/showthread.php?tid=1668)
When Does \(\displaystyle\int_{-1}^0\text{sexp}(x)\,\mathrm{d}x\) Equal \(\frac12\)? - Catullus - 10/31/2022
With the linear approximation of tetration, \(\displaystyle\int_{-1}^0\text{sexp}(x)\,\mathrm{d}x=\frac12\).
For what complex base(s) does \(\displaystyle\int_{-1}^0\text{sexp}(x)\,\mathrm{d}x\) equal \(\frac12\) with the the analytic continuation of the Kneser method?
Also, for what complex base(s) does \(\text{sexp}(-\frac12)\) equal \(\frac12\) with the same method of tetration?