Changes between Version 1 and Version 2 of JacobiEllipticFunctions
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 03/15/11 13:45:49 (4 years ago)
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JacobiEllipticFunctions
v1 v2 1 1 = Jacobi Elliptic Functions = 2 2 3 == Introduction == 4 3 5 There 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. 6 refer the reader to [http://dlmf.nist.gov/22.2 DLMF 22.2] for more 7 information on definitions. 7 8 8 9 However, in our definitions, we use the parameter ''m'' instead of the … … 10 11 the following expressions: 11 12 {{{ 12 k^2 = m13 sin(alpha) = m13 m = k^2 14 m = sin(alpha) 14 15 }}} 15 16 16 == Sn==17 === Sn === 17 18 {{{(jacobisn u m)}}} 18 19 19 20 Jacobi ''sn'' function 20 21 21 == Cn==22 === Cn === 22 23 {{{(jacobicn u m)}}} 23 24 24 25 Jacobi ''cn'' function 25 26 26 == Dn==27 === Dn === 27 28 {{{(jacobidn u m)}}} 28 29 29 30 Jacobi ''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]