# On the Laplace Transform of the Psi Function

Glasser, M.L. and Manna, Dante (2007) On the Laplace Transform of the Psi Function. [UNSPECIFIED] (In Press)

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Guided by numerical experimentation, we have been able to prove that $$\frac{8}{\pi}\int_0^{\pi/2}\frac{x^2}{x^2+\ln^2[2\cos(x)]}dx=1-\gamma+\ln(2\pi)$$ and to establish a connection with the Laplace transform of $\psi(t+1)$.