Evident form of the Laplace transformation of the distribution of the first moment reaching the positive delaying screen with the semi-Markovian process

摘要

On the sequence of the independent, equal distributed and the positive random variables the process of the semi-markovian random walk with negative drift, positive jumps and with the positive delaying screen is constructed. In the case, when the random walk has the complex Laplace distribution, the evident form of Laplace transformation of the distribution of the first moment of reaching of the positive delaying screen with this process is found.