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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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    Abstract

    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 $\psi(t+1)$.

    Item Type: UNSPECIFIED
    Additional Information: pubdom FALSE
    Subjects: 26-xx Real functions > 26Axx Functions of one variable
    Faculty: UNSPECIFIED
    Depositing User: Dante Manna
    Date Deposited: 13 Aug 2007
    Last Modified: 27 Apr 2010 16:45
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/375

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