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(1 - z^2) w''(z) + (b - a - (a + b + 2) z) w'(z) + n (n + a + b + 1) w(z) = 0 for w(z) = c_1 P_n^(a, b)(z) + (c_2 G_(2, 2)^(2, 2) ((1 + z)/2|1 + a + n, -b - n 0, -b))/(1 - z)^a
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