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variants of this functions
EllipticTheta




Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticTheta[1,z,q] > Identities involving the group of functions > Basic Algebraic Identities > The 16 fundamental algebraic identities (from Enneper)





http://functions.wolfram.com/09.01.18.0063.01









  


  








Input Form





EllipticTheta[4, a, q] EllipticTheta[4, b, q] EllipticTheta[1, c, q] EllipticTheta[1, d, q] + EllipticTheta[1, a, q] EllipticTheta[1, b, q] EllipticTheta[4, c, q] EllipticTheta[4, d, q] == (-EllipticTheta[2, (1/2) (a + b + c + d), q]) EllipticTheta[2, (1/2) (a + b - c - d), q] EllipticTheta[3, (1/2) (a - b + c - d), q] EllipticTheta[3, (1/2) (a - b - c + d), q] + EllipticTheta[3, (1/2) (a + b + c + d), q] EllipticTheta[3, (1/2) (a + b - c - d), q] EllipticTheta[2, (1/2) (a - b + c - d), q] EllipticTheta[2, (1/2) (a - b - c + d), q]








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29