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Square lattice Ising model susceptibility: connection matrices and singular behaviour of χ⁽³⁾and χ⁽⁴⁾

Square lattice Ising model susceptibility: connection matrices and singular behaviour of χ⁽³⁾and χ⁽⁴⁾

We present a simple, but efficient, way to calculate connection matrices between sets of independent local solutions, defined at two neighboring singular points, of Fuchsian differential equations of quite large orders, such as those found for the third and fourth contribution ($\chi^{(3)}$ and $\chi^{(4)}$) to the magnetic susceptibility of square …