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We present a general method for analytically factorizing the n-fold form factor integrals $f^{(n)}_{N,N}(t)$ for the correlation functions of the Ising model on the diagonal in terms of the hypergeometric functions $_2F_1([1/2,N+1/2];[N+1];t)$ which appear in the form factor $f^{(1)}_{N,N}(t)$.
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N. Zenine, S. Boukraa, S. Hassani and J-M. Maillard, The Fuchsian differential equation of the square Ising χ ( 3 ) \chi^{(3)} susceptibility, J. Phys. A 37 (2004) 9651–9668
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N.S. Witte and P.J. Forrester, Fredholm determinant evaluations of the Ising model diagonal correlations and their λ \lambda generalization, preprint
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2007
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S. Boukraa, A.J. Guttmann, S. Hassani, I. Jensen, J-M. Maillard, B. Nickel and N. Zenine, Experimental mathematics on the magnetic susceptibility of the square lattice Ising model, J. Phys. A 41 (2008) 455202
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A. Bostan, S. Boukraa, A.J. Guttmann, S. Hassani, I. Jensen, J-M. Maillard and N. Zenine, High order Fuchsian equations for the square lattice Ising model: χ ~ ( 5 ) {\tilde{\chi}}^{(5)} , J. Phys. A 42 (2009) 27209
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S. Boukraa, S. Hassani, I. Jensen, J-M. Maillard, N. J. Zenine High order Fuchsian equations for the square lattice Ising model: χ ( 6 ) \,\chi^{(6)}
2010
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A. Bostan, S. Boukraa, S. Hassani, M. van Hoeij, J.-M. Maillard, J-A. Weil and N. Zenine, The Ising model: from elliptic curves to modular forms and Calabi-Yau equations
2011
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