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We present the reduction of the correlation functions of the Ising model on the anisotropic square lattice to complete elliptic integrals of the first, second and third kind, the extension of Kramers-Wannier duality to anisotropic correlation functions, and the linear differential equations for these anisotropic correlations.
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Advances in Mathematical Physics, Volume 2010, Article ID 941560, Issue NNM, (2010), 44 pages,
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