R. Posey

most citedThe integrals in Gradshteyn and Ryzhik. Part 12: Some logarithmic integrals

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math.CA2010

The Cauchy-Schlomilch transformation

T. Amdeberhan, M. L. Glasser, M. C. Jones +3

The Cauchy-Schlömilch transformation states that for a function $f$ and $a, b > 0$ , the integral of $f (x^{2})$ and $a f ((a x - b x^{- 1})^{2}$ over the interval $[0, \infty)$ are the…

math.CA2010★ 2 cited

The integrals in Gradshteyn and Ryzhik. Part 12: Some logarithmic integrals

Victor H. Moll, Ronald A. Posey

We present the evaluation of some logarithmic integrals. The integrand contains a rational function with complex poles. The methods are illustrated with examples found in the class…