Kolesnik, Alexander D.2025-07-092024KOLESNIK, Alexander D. Some Analytical Properties of the Laplace Transform of the Characteristic Function of the Three-Dimensional Markov Random Flight. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 438-442. ISBN 978-9975-68-515-3.978-9975-68-515-3https://msuir.usm.md/handle/123456789/18287The analytical properties of the Laplace transform of the characteristic function of the three-dimensional symmetric Markov random flight, are studied. The only singular point (ordinary pole) and the residue at this point are evaluated, which gives the first coefficient (by the negative power of complex variable) in the Laurent decomposition of the Laplace-Fourier transform of the transition density of the process.enMarkov random flightLaplace-Fourier trans- formcharacteristic functionsingular pointordinary poleresidueLaurent seriesArticle