Some Systems of PDE Associated with the Multiple Confluent Hypergeometric Functions and Their Applications
Zafarjon O. ArzikulovFergana Polytechnic Institute, 150107, Fergana, UzbekistanTuhtasin ErgashevDepartment of Mathematics, Analysis, Logic and Discrete Mathematics Ghent University, Ghent, Belgium
ABI
Abstract
In this article, new functions, which satisfy certain systems of partial differential equations, are introduced. As an application, the self-similar and fundamental solutions of the second order multidimensional systems of partial differential equations with singular coefficients are constructed in explicit forms.