A quadruple integral involving the exponential logarithm of quotient radicals in terms of the Hurwitz-Lerch Zeta function

With a possible connection to integrals used in General Relativity, we used our contour integral method to write a closed form solution for a quadruple integral involving exponential functions and logarithm of quotient radicals. Almost all Hurwitz–Lerch Zeta functions have an asymmetrical zero-distribution. All the results in this work are new.