Dear MOs, I need to calculate the inverse Laplace transform of the following function $$ g(z) = \frac{e^{a z}\: \text{erfc}(\sqrt{a z})}{\sqrt{z}-2},\quad a>0. $$ I have checked, among many others, the book ["Table of Integral Transform, Vol. I"][1]. In P.267, Eq. (14) is for $$ g(z) = \frac{e^{a z}\: \text{erfc}(\sqrt{a z})}{\sqrt{z}} $$ which is almost what I need. Other than this formula, I didn't find the one that I need. I have tried mathematica, which couldn't give an answer. I think the hope to find out the solution is quite small. Thank you very much for any hints! Anand [1]: http://books.google.ch/books?id=IPhQAAAAMAAJ&q=Table+of+Integral+Transforms,+Vol.+I&dq=Table+of+Integral+Transforms,+Vol.+I&hl=en&ei=U0_KT7yxNMv64QSSlXA&sa=X&oi=book_result&ct=book-thumbnail&redir_esc=y