Sine amplitude
From Encyclopedia of Mathematics
elliptic sine
One of the three basic Jacobi elliptic functions, written as
 |
The sine amplitude can be defined by theta-functions or by means of a series in the following way:
 |
 |
where 
is the modulus of the sine amplitude (usually 
) and 
, 
. When 
, respectively, 
, 
.
References
| [1] | A. Hurwitz, R. Courant, "Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen" , 2 , Springer (1964) pp. Chapt. 3 |
How to Cite This Entry:
Sine amplitude. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sine_amplitude&oldid=17986
Sine amplitude. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sine_amplitude&oldid=17986
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article