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20022007
most citedThe generalized-Euler-constant function and a generalization of Somos's quadratic recurrence constant

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math.CA2002

Double Integrals for Euler's Constant and ln(4/Pi) and an Analog of Hadjicostas's Formula

Jonathan Sondow

We give analogs for Euler's constant and ln(4/Pi) of the well-known double integrals for zeta(2) and zeta(3). We also give a series for ln(4/Pi) which reveals it to be an "alternat…