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The integral equation for the distribution function g(h) of the effective field h is investigated. The Fourier transform S(x) of g(h) satisfies S(x) = (1/2π)∫ − ∞∞K(x, y) [S(y)] z−1 dy. The kernel K(x, y) which has been given by a double integral previously, is evaluated in terms of the hypergeometric functions. The behavior of K(x, y) is shown for various values of the temperatures. The result suggests that g(h) does not vary much below the spin glass transition temperature from the one at the temperature zero

Integral Kernel of the Spin Glass Integral Equation for the Bethe Lattice