Manuscript IX-E-2@1 · IX-E-2.tex · section · e70d9077

The cosine distribution

Common-regulator evaluation › The cosine distribution · lines 721–734

IX-E-2@1#eq:H-arctan

Using the sine-cosine product identity in (eq:H-radial-regulated) yields

H_{ε} (v, R) = \frac{1}{4 π ^{2} R} [arctan \frac{R + v}{ε} + arctan \frac{R - v}{ε}] .

Displayed formulas in this passage

IX-E-2@1#eq:H-arctan · line 725
$H_{ε} (v, R) = \frac{1}{4 π ^{2} R} [arctan \frac{R + v}{ε} + arctan \frac{R - v}{ε}] .$