Marc Raimondo - CMI

Centering and Scaling Constants
� set N = n1 + n2 − 1
� define γ, φ from
sin 2 (γ/2) = (p − 1
2 )/N, sin2 (φ/2) = (n1 − 1
2 )/N
� Then µ and σ are given by
�
φ + γ
�
µp = 2 log tan , σ
2
3 p
= 16
N 2
� (given a table of F1), straightforward to code:
papptw, qapptw, rapptw.
1
sin 2 (φ + γ) sin φ sin γ .
Luminy 12/08 – p.24