The Double Laplace Transform Expressed in terms of the Lerch Transcendent
DOI:
https://doi.org/10.29020/nybg.ejpam.v14i3.3987Keywords:
Laplace transform, Lerch Transcendent, Contour integral, definite integralAbstract
In this manuscript, the authors derive a formula for the double Laplace transform expressed in terms of the Lerch Transcendent. The log term mixes the variables so that the integral is not separable except for special values of k. The method of proof follows the method used by us to evaluate single integrals. This transform is then used to derive definite integrals in terms of fundamental constants, elementary and special functions. A summary of the results is produced in the form of a table of definite integrals for easy referencing by readers.Downloads
Published
2021-08-05
How to Cite
Reynolds, R., & Stauffer, A. (2021). The Double Laplace Transform Expressed in terms of the Lerch Transcendent. European Journal of Pure and Applied Mathematics, 14(3), 618–637. https://doi.org/10.29020/nybg.ejpam.v14i3.3987
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Section
Nonlinear Analysis
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