# Double integral of logarithm and exponential function expressed in terms of the Lerch function

@inproceedings{Reynolds2021DoubleIO, title={Double integral of logarithm and exponential function expressed in terms of the Lerch function}, author={Robert Reynolds and Allan Stauffer}, year={2021} }

Abstract. 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 Lerch function. There are some useful results relating double integrals of certain kinds of functions to ordinary integrals for which we know no general reference. Thus a table of integral pairs is given for interested readers. The majority of the results in this work are new.

#### One Citation

Voros coefficients of the Gauss hypergeometric differential equation with a large parameter

- 2021

The Voros coefficient of the Gauss hypergeometric differential equation with a large parameter is defined for the origin and its explicit form and the details of derivation are given.

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