Manuscript I-B-G@2 · I-B-G-v2.tex · section · 3b4d700f

The diffraction weight

The Sommerfeld–Carslaw–Dowker kernel › The diffraction weight · lines 1002–1013

I-B-G@2#eq:Phi

For $u > 0$ , define

Φ_{β} (u, ϑ) = n \in Z \sum sin (π ν_{n}) e^{- ν_{n} u} e^{i (n + β) ϑ / α} .

This series converges absolutely.

Displayed formulas in this passage

I-B-G@2#eq:Phi · line 1005
$Φ_{β} (u, ϑ) = n \in Z \sum sin (π ν_{n}) e^{- ν_{n} u} e^{i (n + β) ϑ / α} .$