Modified:
/trunk/mpmath/functions/elliptic.py
=======================================
--- /trunk/mpmath/functions/elliptic.py Sat Jan 8 14:15:29 2011
+++ /trunk/mpmath/functions/elliptic.py Sun May 8 09:05:01 2011
@@ -920,7 +920,7 @@
.. math ::
- F(\phi,m) = \int_0^{\sin z}
+ F(\phi,m) = \int_0^{\sin \phi}
\frac{dt}{\left(\sqrt{1-t^2}\right)\left(\sqrt{1-mt^2}\right)}.
The function reduces to a complete elliptic integral of the first kind
@@ -932,7 +932,7 @@
In the defining integral, it is assumed that the principal branch
of the square root is taken and that the path of integration avoids
- crossing any branch cuts. Outside `-\pi/2 \le \Re(z) \le \pi/2`,
+ crossing any branch cuts. Outside `-\pi/2 \le \Re(\phi) \le \pi/2`,
the function extends quasi-periodically as
.. math ::
@@ -1211,7 +1211,7 @@
In the defining integral, it is assumed that the principal branch
of the square root is taken and that the path of integration avoids
- crossing any branch cuts. Outside `-\pi/2 \le \Re(z) \le \pi/2`,
+ crossing any branch cuts. Outside `-\pi/2 \le \Re(\phi) \le \pi/2`,
the function extends quasi-periodically as
.. math ::