Definition of Laplace Transforms for Distribution of the First Passage of Zero Level of the Semi-Markov Random Process with Positive Tendency and Negative Jump

References

[1] Borovkov. A. A. 2004. On the Asymptotic Behavior of the Distributions of First- Passage, Mat. Zametki, 2004, Volume 75:1, 24-39

[2] Lotov V. I. On the asymptotics of the distributions in two-sided boundary problems for random walks defined on a Markov chain. Siberian Advances in Math., 1991, V. 1, No. 3, 26-51

[3] Klimov. G. P. 1966. Stochastic queuening systems, Moscow: Nauka.

[4] T. I. Nasirova and R. I. Sadikova Laplace transformation of the distribution of the time of system sojourns within a band. Automatic Control and computer sciences, Volume43, Number4, 190-194