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dc.contributor.authorSitnik, S. M.-
dc.contributor.authorSkoromnik, O. V.-
dc.date.accessioned2022-11-21T15:04:29Z-
dc.date.available2022-11-21T15:04:29Z-
dc.date.issued2020-
dc.identifier.citationSitnik, S.M. One-dimensional and multi-dimensional integral transforms of Buschman-Erdélyi type with Legendre functions in kernels / S.M. Sitnik, O.V. Skoromnik // Transmutation Operators and Applications / eds.: V.V. Kravchenko, S.M. Sitnik. - Cham, 2020. - Part.I.-P. 293-319. - (Trends in Mathematics).ru
dc.identifier.urihttp://dspace.bsu.edu.ru/handle/123456789/49973-
dc.description.abstractThis paper consists of two parts. In the first part we give a brief survey of results on Buschman-Erdélyi operators, which are transmutations for the Bessel singular operator. Main properties and applications of Buschman-Erdélyi operators are outlined. In the second part of the paper we consider multi-dimensional integral transforms of Buschman-Erdélyi type with Legendre functions in kernels. Complete proofs are given in this part, main tools are based onMellin transformproperties and usage of Fox H-functionsru
dc.language.isoenru
dc.subjectmathematicsru
dc.subjectmathematical analysisru
dc.subjectBuschman-Erdélyi operatorsru
dc.subjecttransmutationsru
dc.subjectMellin transformru
dc.subjectFox H-functionru
dc.titleOne-dimensional and multi-dimensional integral transforms of Buschman-Erdélyi type with Legendre functions in kernelsru
dc.typeArticleru
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