Work

Integral Transformation With the Mittag–leffler Function in Spaces of Lebesgue-measurable Functions

Year: 2024

Type: article

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.

Source: HERALD OF POLOTSK STATE UNIVERSITY Series С FUNDAMENTAL SCIENCES

DOI: 10.52928/2070-1624-2024-43-2-67-71

Authors: S. SITNIK, O. SKOROMNIK, A. KUROKHTINA

Institutions: Belgorod National Research University, Euphrosyne Polotskaya State University

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404540242

FWCI:

Cites: 5

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Related to: 10