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math.GM2021
Double integral of logarithm and exponential function expressed in terms of the Lerch function
Robert Reynolds, Allan Stauffer
In this work the authors use their contour integral method to derive a double integral connected to the modified Bessel function of the second kind and express it in terms of the L…
math.GM2021
An integral's journey over the real line
Robert Reynolds, Allan Stauffer
In 1826 Cauchy presented an Integral over the real line. Al and I thought a derivation would be mighty fine. So we packed our contour integral bags that day, and we now present an…
math.CA2021★ 3 cited
Table in Gradshteyn and Ryzhik: Derivation of definite integrals of a Hyperbolic Function
Robert Reynolds, Allan Stauffer
We present a method using contour integration to derive definite integrals and their associated infinite sums which can be expressed as a special function. We give a proof of the b…