Adyghe Int. Sci. J. Vol. 24, No. 4. P. 80–90.
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DOI: https://doi.org/10.47928/1726-9946-2024-24-4-80-90
EDN: WVAKIF
MATHEMATICS
MSC 33C60, 33E50 | Original Article |
Stankovich integral transforms
of some special functions
Fatima Gidovna Khushtova
Candidate of Physical and Mathematical Sciences, Researcher of Department of Fractional Calculus, Institute of Applied Mathematics and Automation of KBSC RAS (360000, Kabardino-Balkarian Republic, Nalchik, 89A Shortanov St.), ORCID: http://orcid.org/0000-0003-4088-3621, khushtova@yandex.ru
Abstract. In this paper, formulas for the integral Stankovich transforms of some elementary and special functions that are important in the theory of boundary value problems of mathematical physics are obtained. To prove the obtained formulas, integral representations, or expansions in power series, of the functions to which the transforms are applied are used.
Keywords: Stankovich transform, Wright function, special functions of mathematical physics.
Funding. This work was carried out within the framework of the state assignment of the Ministry of Education and Science of the Russian Federation under the project: Investigation of boundary value problems for equations with generalised fractional differentiation operators and their application to mathematical modelling of physical and socio-economic processes (1021032424223-6).
Competing interests. There are no conflicts of interest regarding authorship and publication.
Contribution and Responsibility. The author participated in the writing of the article and is fully responsible for submitting the final version of the article to the press.
For citation. Khushtova F. G. Analogue of Bitsadze–Samarskii problem for loaded hyperbolic-parabolic equation with degeneration of order in the hyperbolicity domain. Adyghe Int. Sci. J. 2024. Vol. 24, No. 4. Pp. 80–90.
DOI: https://doi.org/10.47928/1726-9946-2024-24-4-80-90; EDN: WVAKIF
Submitted 29.12.2024; approved after reviewing 06.12.2024; accepted for publication 13.12.2024.
© Khushtova F. G., 2024
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