12 citations · 18 across the 13 of their papers we have counts for
13 papers
The generalized Holmgren problem for elliptic equation with several singular coefficients
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 va…
New decomposition formulas associated with the Lauricella multivariable hypergeometric functions
Tuhtasin Ergashev
Decomposition formulas associated with the Lauricella multivariable hypergeometric functions were known, however, due to the recurrence of those formulas, additional difficulties m…
Some relations following from the decomposition formula for one multidimensional Lauricella hypergeometric function
Tuhtasin Ergashev
Fundamental solutions for a class of multidimensional elliptic equations with several singular coefficients were constructed recently. These fundamental solutions are directly conn…
Decomposition formulas associated with the multivariable confluent hypergeometric functions
Tuhtasin Ergashev
The main object of this work is to show how some rather elementary techniques based upon certain inverse pairs of symbolic operators would lead us easily to several decomposition f…
Double-Layer Potentials for a Generalized Bi-Axially Symmetric Helmholtz Equation II
Abdumauvlen Berdyshev, Anvar Hasanov, Tuhtasin Ergashev
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…
Third Double-layer Potential for generalized bi-axially symmetric Helmholtz equation
Tuhtasin Ergashev
The double-layer potential plays an important role in solving boundary value problems for elliptic equations, and in the study of which for a certain equation, the properties of th…
Fundamental solutions for a class of multidimensional elliptic equations with several singular coefficients
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 funda…
Solutions of systems of the partial differential equations of Kampé de Fériet type functions
Anvarjon Hasanov, Tuhtasin Ergashev
In investigation of boundary-value problems for certain partial differential equations arising in applied mathematics, we often need to study the solution of system of partial diff…
The Cauchy problem for a degenerate hyperbolic equation of the second kind
Tuhtasin Ergashev
In this article the unique solution of the Cauchy problem is founded by the Riemann method. Some relations for given here confluent hypergeometric functions of two and three variab…
Fundamental solutions of generalized bi-axially symmetric multivariable Helmholtz equation
Tuhtasin Ergashev, Anvarjon Hasanov
In the present article for the generalized bi-axially symmetric multivariable Helmholtz equation four fundamental solutions are constructed in explicit form. Furthermore, some prop…
The inversion formula for the Volterra integral equation with the Humbert function in the nuclear and its applications to the boundary value problems
Tuhtasin Ergashev
Many problems of applied mathematics are reduced to the solution of integral equations with special functions in kernels, therefore the inversion formulas for such equations play a…
The Fourth Double-Layer Potential for a Generalized Bi-Axially Symmetric Helmholtz Equation
Tuhtasin Ergashev
The double-layer potential plays an important role in solving boundary value problems for elliptic equations, and in the study of which for a certain equation, the properties of th…
Generalized solutions of the degenerate hyperbolic equation of the second kind with a spectral parameter
Tuhtasin Ergashev
For a degenerate hyperbolic equation of the second kind, and with a spectral parameter are studied the Cauchy problem, Cauchy-Goursat and Goursat in a new class of generalized solu…