Manuscript I-B-VP-0@1 · I-B-VP-0-v1.tex · section · 8a9d0682

Euclidean kernel and analytic remainder

Prescribed geometry, bundle, and spectral state › Euclidean kernel and analytic remainder · lines 378–388

I-B-VP-0@1#eq:eta

For Euclidean points $X = (τ, r, φ, z)$ , set

cosh η = \frac{r ^{2} + r ^{'2} + Δ τ ^{2} + Δ z ^{2}}{2 r r ^{'}}, ϑ = α (φ - φ^{'}) .

Displayed formulas in this passage

I-B-VP-0@1#eq:eta · line 381
$cosh η = \frac{r ^{2} + r ^{'2} + Δ τ ^{2} + Δ z ^{2}}{2 r r ^{'}}, ϑ = α (φ - φ^{'}) .$