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Fundamental solution of multidimensional axisymmetric Helmholtz equation

R. M. MavlyavievDepartment of Higher Mathematics and Mathematical Modeling, Lobachevsky Institute of Mathematics and Mechanics, Kazan (Volga region) Federal University, Kazan, RussiaIlnur GaripovDepartment of Higher Mathematics and Mathematical Modeling, Lobachevsky Institute of Mathematics and Mechanics, Kazan (Volga region) Federal University, Kazan, Russia
2016en
ABI

Аннотация

For axisymmetric Helmholtz equationfundamental solutions have been constructed. Those are written explicitly via confluent Horn functions. The obtained fundamental solutions have been proved to possess a power singularity .

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