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variants of this functions
EllipticTheta






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Elliptic Functions > EllipticTheta[2,z,q] > Introduction to the Jacobi theta functions





Applications of Jacobi theta functions

Applications of the Jacobi theta functions include the analytic solution of the heat equation, square potential well problems in quantum mechanics, Wannier functions in solid state physics, conformal mapping of periodic regions, gravitational physics, quantum cosmology, coding theory, sphere packings, crystal lattice calculations, and study of the fractional quantum Hall effect.