Dunkl-Poisson Equation and Related Equations in Superspace
Abstract
In this paper, we investigate the Almansi expansion for solutions of Dunkl-polyharmonic equations by the 0-normalized system for the Dunkl-Laplace operator in superspace. Moreover, applying the 0-normalized system, we construct solutions to the Dunkl-Helmholtz equation, the Dunkl-Poisson equation, and the inhomogeneous Dunkl-polyharmonic equation in superspace.
Keywords:
normalized system, super Dunkl-Laplace operator, Dunkl-Helmholtz equation, Dunkl-Poisson equation, inhomogeneous Dunkl-polyharmonic equationHow to Cite
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Copyright (c) 2015 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2015 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.