TWO-DIMENSIONAL INTEGRAL H-TRANSFORM IN WEIGHTED SPACES OF SUMMABLE FUNCTIONS-Reference-Cited by-同舟云学术

TWO-DIMENSIONAL INTEGRAL H-TRANSFORM IN WEIGHTED SPACES OF SUMMABLE FUNCTIONS

Published:2023-10-31 Issue:2 Volume: Page:93-103
ISSN:2710-4230
Container-title:HERALD OF POLOTSK STATE UNIVERSITY. Series С FUNDAMENTAL SCIENCES
language:
Short-container-title:HERALD OF POLOTSK STATE UNIVERSITY. Series С FUNDAMENTAL SCIENCES

Author:

SITNIK S.¹,SKOROMNIK O.²,PAPKOVICH M.²

Affiliation:

1. Belgorod State National Research University "BelGU"

2. Euphrosyne Polotskaya State University of Polotsk

Publisher

Polotsk State University

Reference30 articles.

1. Sitnik, S. M., & Skoromnik, O. V. (2020). One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdélyi Type with Legendre Functions in Kernels. In V. Kravchenko, & S. Sitnik (Eds.), Transmutation Operators and Applications. Trends in Mathematics (293–319). Birkhäuser, Cham. DOI: 10.1007/978-3-030-35914-0_13.

2. Sitnik, S. M., Skoromnik, O. V., & Shlapakov, S. A. (2022). Multi-Dimensional Generalized Integral Transform in the Weighted Spaces of Summable Functions. Lobachevskii J. Math, 43(6), 1408–1416. DOI: 10.1134/S1995080222090244.

3. Samko, S. G., Kilbas, A. A., & Marichev, O. I. (1993). Fractional Integrals and Derivatives: Theory and Applications. Switzerland; Philadelphia, Pa., USA: Gordon and Breach Science Publishers.

4. Kilbas, A. A., Srivastava, H. M., & Trujillo, J. J. (2006). Theory and applications of fractional differential equations. North-Holland Mathematics Studies: vol. 204. Elsevier. DOI: 10.1016/S0304-0208(06)80001-0.

5. Skoromnik, O. V., & Papkovich, M. V. (2022). Mnogomernye modifitsirovannye G-preobrazovaniya i integral'nye preobrazovaniya s gipergeometricheskoi funktsiei Gaussa v yadrakh v vesovykh prostranstvakh summiruemykh funktsii [Multidimensional modified G-transformations and integral transformations with hypergeometric Gauss functions in kernels