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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 > Identities involving transformation of nome q > Equations involving integer powers of q





http://functions.wolfram.com/09.01.18.0158.01









  


  










Input Form





EllipticTheta[3, x, q^a] EllipticTheta[3, y, q^b] == Sum[q^(b r^2) E^(2 r I y) EllipticTheta[3, x + y + r b Pi \[Tau], q^(a + b)] EllipticTheta[3, a y - b x + r a b Pi \[Tau], q^(a b (a + b))], {r, 0, a + b - 1}] /; Element[{a, b}, Integers] && a > 0 && b > 0 && q == E^(I Pi \[Tau])










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





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