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https://elib.psu.by/handle/123456789/24983| Title: | One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdélyi Type with Legendre Functions in Kernels |
| Authors: | Sitnik, S. Skoromnik, O. |
| Issue Date: | 2020 |
| Publisher: | Birkhäuser, Cham |
| Citation: | Sitnik S.M., Skoromnik O.V. (2020) One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdélyi Type with Legendre Functions in Kernels. In: Kravchenko V., Sitnik S. (eds) Transmutation Operators and Applications. Trends in Mathematics. Birkhäuser, Cham |
| Abstract: | This 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 on Mellin transform properties and usage of Fox H-functions. |
| Keywords: | Buschman–Erdélyi operators Multidimensional Buschman–Erdélyi operators Transmutations Mellin transform Fox H-function |
| URI: | https://elib.psu.by/handle/123456789/24983 |
| metadata.dc.identifier.doi: | 10.1007/978-3-030-35914-0_13 |
| Appears in Collections: | Публикации в Scopus и Web of Science |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Skoromnik_2020_One-Dimensional and Multi-Dimensional Integral.pdf | 280.58 kB | Adobe PDF |  View/Open |
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