TY - JOUR
AU - Reynolds, Robert
AU - Stauffer, Allan
PY - 2021/08/05
Y2 - 2023/09/27
TI - The Double Laplace Transform Expressed in terms of the Lerch Transcendent
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 14
IS - 3
SE -
DO - 10.29020/nybg.ejpam.v14i3.3987
UR - https://www.ejpam.com/index.php/ejpam/article/view/3987
SP - 618-637
AB - 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.
ER -