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authorJaron Kent-Dobias <jaron@kent-dobias.com>2017-10-02 16:34:05 -0400
committerJaron Kent-Dobias <jaron@kent-dobias.com>2017-10-02 16:34:05 -0400
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changed f to g in some placesarXiv-v2
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@@ -373,11 +373,11 @@ the abrupt transitions at $h=\pm0$, $t<0$ is
\]
This function is analytic in the range $-\theta_\c<\theta<\theta_\c$.
In order to correct its low-order behavior to match that expected, we
-make use of both the freedom of the coordinate transformation $f$ and an
+make use of both the freedom of the coordinate transformation $g$ and an
arbitrary analytic additive function $Y$,
\begin{align}
- f(\theta)=\bigg(1-\frac{\theta^2}{\theta_\c^2}\bigg)\sum_{n=0}^\infty
- f_n\theta^{2n+1}
+ g(\theta)=\bigg(1-\frac{\theta^2}{\theta_\c^2}\bigg)\sum_{n=0}^\infty
+ g_n\theta^{2n+1}
&&
Y(\theta)=\sum_{n=0}^\infty Y_n\theta^{2n}
\end{align}