Some Analytical Properties of the Laplace Transform of the Characteristic Function of the Three-Dimensional Markov Random [Articol]

dc.contributor.authorKolesnik, Alexander D.en
dc.date.accessioned2025-07-09T06:50:30Z
dc.date.issued2024
dc.description.abstractThe 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.en
dc.description.sponsorshipThis research was supported in the framework of the project “011302: Analitical and numerical methods for solving stochastic dynamic decision problems”.
dc.identifier.citationKOLESNIK, 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.en
dc.identifier.isbn978-9975-68-515-3
dc.identifier.urihttps://msuir.usm.md/handle/123456789/18287
dc.language.isoen
dc.subjectMarkov random flighten
dc.subjectLaplace-Fourier trans- formen
dc.subjectcharacteristic functionen
dc.subjectsingular pointen
dc.subjectordinary poleen
dc.subjectresidueen
dc.subjectLaurent seriesen
dc.titleSome Analytical Properties of the Laplace Transform of the Characteristic Function of the Three-Dimensional Markov Random [Articol]en
dc.typeArticle

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