Changes between Version 4 and Version 5 of EllipticTheta1
 Timestamp:
 03/15/11 13:38:48 (4 years ago)
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EllipticTheta1
v4 v5 1 1 = Elliptic Theta Functions = 2 2 3 All of the elliptic theta functions are functions of two parameters. 4 The second parameter ''q'' is the ''nome'' and must satisfy 5 {{{q < 1}}}. 3 == Introduction == 6 4 7 == Theta 1 == 5 All of the elliptic theta functions are functions of two parameters: 6 the argument ''z'' and a second argument. For these routines the 7 second argument is the nome ''q'', {{{q < 1}}} . Some references 8 use the the lattice parameter ''tau'', with the imaginary part of 9 ''tau'' strictly positive. 10 11 The nome and lattice parameter are related by {{{q = exp(%i*%pi*tau)}}}. 12 13 === Theta 1 === 8 14 {{{(elliptictheta1 z q)}}} 9 15 … … 13 19 }}} 14 20 15 == Theta 2==21 === Theta 2 === 16 22 {{{(elliptictheta2 z q)}}} 17 23 … … 21 27 }}} 22 28 23 == Theta 3==29 === Theta 3 === 24 30 {{{(elliptictheta3 z q)}}} 25 31 … … 29 35 }}} 30 36 31 == Theta 4==37 === Theta 4 === 32 38 {{{(elliptictheta4 z q)}}} 33 39