Figure 19.3.4 (See in context.)
as a function of 
and 
for 
, 
.
If 
(
), then the function reduces to
, with value 1 at 
.
If 
(
), then it has the value
,
with limit 1 as 
:
put 
in (19.25.7) and use (19.25.1).
: Legendre’s complete elliptic integral of the first kind,
: Legendre’s complete elliptic integral of the second kind,
: Legendre’s incomplete elliptic integral of the second kind,
: sine function,
: real or complex argument,
: real or complex modulus and
: complementary modulus
