arXiv subjects
Publications and source records attributed to 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 properties of these solutions are shown, which will be used for solving boundary value problems for aforementioned equation.
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 differential equations satisfied by hypergeometric functions and find explicit linearly independent solutions for the system. In this present investigation, we give the solutions of systems of partial differential equations for two Kampé de Fériet type functions of third and fourth orders and of two variables.