INTEGRAL TRANSFORMATION WITH THE MITTAG–LEFFLER FUNCTIONIN SPACES OF LEBESGUE-MEASURABLE FUNCTIONS
One integral transformation with a special Mittag – Leffler function in the kernel is considered. Using the Mellin transformation technique, we show that it is a special case of the one-dimensional H-transformation. Based on the theory of the H-transformation, the properties of the considered integral transformation in the spaces of integrable functions with a weight on the semiaxis are investigated.
Authors
- О. В. Скоромник (ORCID: https://orcid.org/0009-0009-7222-4250)
- С. М. Ситник (ORCID: https://orcid.org/0000-0001-9661-4338)
- A. KUROKHTINA
Institutions
- Belgorod National Research University (RU)
- Euphrosyne Polotskaya State University (BY)
Publication Details
- Journal
- HERALD OF POLOTSK STATE UNIVERSITY Series С FUNDAMENTAL SCIENCES
- Published
- 2024-11-18
- DOI
- https://doi.org/10.52928/2070-1624-2024-43-2-67-71
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00