Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Tuhtasin Ergashev"'
Publikováno v:
Mathematics, Vol 12, Iss 20, p 3188 (2024)
When studying the boundary value problems’ solvability for some partial differential equations encountered in applied mathematics, we frequently need to create systems of partial differential equations and explicitly construct linearly independent
Externí odkaz:
https://doaj.org/article/53dcd93bc2684770a7ba9af312c7da4e
Autor:
Ainur Ryskan, Tuhtasin Ergashev
Publikováno v:
Mathematics, Vol 11, Iss 24, p 4978 (2023)
Lauricella, G. in 1893 defined four multidimensional hypergeometric functions FA, FB, FC and FD. These functions depended on three variables but were later generalized to many variables. Lauricella’s functions are infinite sums of products of varia
Externí odkaz:
https://doaj.org/article/ffac456dae204576afc0bcb2e877bccf
Autor:
Tuhtasin Ergashev
Publikováno v:
Lobachevskii Journal of Mathematics. 41:1067-1077
In earlier research, the double- and simple layer potentials have been successfully applied in solving boundary value problems for two-dimensional elliptic equations. Despite the fact that all fundamental solutions of a three-dimensional elliptic equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a1b0cb6bc921ab8850201d0e64c7437
https://doi.org/10.1134/s1995080220060086
https://doi.org/10.1134/s1995080220060086
Autor:
A.A. Abdullayev, Tuhtasin Ergashev
Publikováno v:
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika. :5-21
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7268f238eb22c85a509138b945f40166
https://doi.org/10.17223/19988621/65/1
https://doi.org/10.17223/19988621/65/1
Publikováno v:
Complex Variables and Elliptic Equations. 65:316-332
The double-layer potential plays an important role in solving boundary value problems for elliptic equations. All the fundamental solutions of the generalized bi-axially symmetric Helmholtz equation were known, and only for the first one was construc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::742003c764133a7bab8415395ba5a124
https://doi.org/10.1080/17476933.2019.1583219
https://doi.org/10.1080/17476933.2019.1583219
Autor:
Tuhtasin Ergashev
In this paper, we introduce a new class of confluent hypergeometric functions of many variables, study their properties, and determine a system of partial differential equations that this function satisfies. It turns out that all the fundamental solu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c02173f8ec9ea4a9943512a6f9693e12
http://arxiv.org/abs/1908.07158
http://arxiv.org/abs/1908.07158
Autor:
Tuhtasin Ergashev
Recently found all the fundamental solutions of a multidimensional singular elliptic equation are expressed in terms of the well-known Lauricella hypergeometric function in many variables. In this paper, we find a unique solution of the Dirichlet pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8eb20f6facc196b3adfab8bdac199609
Autor:
Tuhtasin Ergashev
The main result of the present paper is the construction of fundamental solutions for a class of multidimensional elliptic equations with several singular coefficients. These fundamental solutions are directly connected with multiple hypergeometric f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa46d8fc31d82fe642fd3401972ef0ac
http://arxiv.org/abs/1805.03826
http://arxiv.org/abs/1805.03826
Autor:
Tuhtasin Ergashev
The main result of the present paper is the construction of fundamental solutions for a class of multidimensional elliptic equations with three singular coefficients, which could be expressed in terms of a confluent hypergeometric function of four va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::787328aaab50742d4f5abc88ac1b5159
http://arxiv.org/abs/1804.04363
http://arxiv.org/abs/1804.04363