INTEGRAL TRANSFORMATION WITH THE MITTAG–LEFFLER FUNCTION IN SPACES OF LEBESGUE-MEASURABLE FUNCTIONS

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Published: Nov 18, 2024
DOI: https://doi.org/10.52928/2070-1624-2024-43-2-67-71
Keywords:
integral H-transformation, Mittag – Leffler function, Fox H-function, Mellin transform, space of integrable functions, fractional integrals and derivatives интегральное H-преобразование, функция Миттаг – Леффлера, H-функция Фокса, преобразование Меллина, пространство интегрируемых функций, дробные интегралы и производные
Issue
No. 2 (2024)
Section
mathematics

Main Article Content

S. SITNIK
The National Research University "Belgorod State University" (BelSU), Russia
O. SKOROMNIK
Euphrosyne Polotskaya State University of Polotsk
A. KUROKHTINA
Euphrosyne Polotskaya State University of Polotsk

Abstract

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.

Article Details

How to Cite
SITNIK, S., SKOROMNIK, O., & KUROKHTINA, A. (2024). INTEGRAL TRANSFORMATION WITH THE MITTAG–LEFFLER FUNCTION IN SPACES OF LEBESGUE-MEASURABLE FUNCTIONS. Vestnik of Polotsk State University. Part C. Fundamental Sciences, (2), 67-71. https://doi.org/10.52928/2070-1624-2024-43-2-67-71
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Author Biographies

S. SITNIK, The National Research University "Belgorod State University" (BelSU), Russia

д-р физ.-мат. наук, доц.

O. SKOROMNIK, Euphrosyne Polotskaya State University of Polotsk

канд. физ.-мат. наук, доц.

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