Changes between Version 1 and Version 2 of JacobiEllipticFunctions


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Timestamp:
03/15/11 13:45:49 (4 years ago)
Author:
rtoy
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  • JacobiEllipticFunctions

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    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]