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    Dougall-Ramanujan Identity

    Dougall-Ramanujan identity

    _7 F_6(a, a/2 + 1, b, c, d, e, -n;a/2, 1 + a - b, 1 + a - c, 1 + a - d, 1 + a - e, 1 + a + n;1) = ((Γ(1 + a - b - c - d) Γ(1 + a - b - c + n) Γ(1 + a - b - d + n) Γ(1 + a - c - d + n)) (Γ(1 + a - b) Γ(1 + a - c) Γ(1 + a - d) Γ(1 + a + n)))/((Γ(1 + a - b + n) Γ(1 + a - c + n) Γ(1 + a - d + n) Γ(1 + a - b - c - d + n)) (Γ(1 + a) Γ(1 + a - b - c) Γ(1 + a - b - d) Γ(1 + a - c - d))) for (2 a - (b + c + d + e) = -n - 1 and n element Z and n>=0)

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