... tight bounds for these quotients and differencesassuming various relationships between the parameters a, b, c. For the general case, we can formulate the following theorem.Theorem 1.2. For a, b, ... basic identities of the logarithm yield functional inequalities for the zero-balanced function.Next, writing the basic addition formula for the logarithmlog z + log w = log(zw), z, w > 0,in ... 3.1. Fix c, d > 0 and let g(x) = xF (c, d; c + d; x) for x ∈ (0, 1) and setQg(x, y) =g(x) + g(y)g(x + y − xy) for x, y ∈ (0, 1).(1) For which values of c and d, this function is bounded...