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A monotonicity property involving the generalized elliptic integral of the first kind
In this paper, we prove that the functionis strictly increasing from (0,1) onto (π/[R(a) sin(πa)]-1,a(1-a)) for all a ∈ (0,1/2] , where, ψ is the classical psi function and γ = 0.57721566 ••• is the Euler-Mascheroni constant.