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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
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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.

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