Changes between Version 1 and Version 2 of JacobiEllipticFunctions

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Timestamp:
03/15/11 06:45:49 (3 years ago)
Author:
rtoy
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  • JacobiEllipticFunctions

    v1 v2  
    11= Jacobi Elliptic Functions = 
    22 
     3== Introduction == 
     4 
    35There are many definitions for the Jacobi elliptic functions.  We 
    4 refer the reader to  
    5 [http://www.convertit.com/Go/Convertit/Reference/AMS55.ASP?Res=150&Page=569&Submit=Go A&S 16]  
    6 for more information. 
     6refer the reader to [http://dlmf.nist.gov/22.2 DLMF 22.2] for more 
     7information on definitions. 
    78 
    89However, in our definitions, we use the parameter ''m'' instead of the 
     
    1011the following expressions: 
    1112{{{ 
    12   k^2 = m 
    13   sin(alpha) = m 
     13  m = k^2 
     14  m = sin(alpha) 
    1415}}} 
    1516 
    16 == Sn == 
     17=== Sn === 
    1718{{{(jacobi-sn u m)}}} 
    1819 
    1920Jacobi ''sn'' function 
    2021 
    21 == Cn == 
     22=== Cn === 
    2223{{{(jacobi-cn u m)}}} 
    2324 
    2425Jacobi ''cn'' function 
    2526 
    26 == Dn == 
     27=== Dn === 
    2728{{{(jacobi-dn u m)}}} 
    2829 
    2930Jacobi ''dn'' function 
     31 
     32== References == 
     33 
     34 * [http://dlmf.nist.gov/22 DLMF Jacobian Elliptic Functions] 
     35 * [http://www.convertit.com/Go/Convertit/Reference/AMS55.ASP?Res=150&Page=569&Submit=Go A&S 16]