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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 > Alternative version of fundamental identities (from Tannery and Molk)





http://functions.wolfram.com/09.01.18.0078.01









  


  








Input Form





EllipticTheta[2, a + b, q] EllipticTheta[2, a - b, q] EllipticTheta[2, c + d, q] EllipticTheta[2, c - d, q] + EllipticTheta[3, a + b, q] EllipticTheta[3, a - b, q] EllipticTheta[3, c + d, q] EllipticTheta[3, c - d, q] == EllipticTheta[2, a + d, q] EllipticTheta[2, a - d, q] EllipticTheta[2, b + c, q] EllipticTheta[2, b - c, q] + EllipticTheta[3, a + d, q] EllipticTheta[3, a - d, q] EllipticTheta[3, b + c, q] EllipticTheta[3, b - c, 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