Dunkl-Poisson Equation and Related Equations in Superspace

    Hong Fen Yuan Info
    Valery V. Karachik Info
DOI: https://doi.org/10.3846/13926292.2015.1112856

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 equation

How to Cite

Yuan, H. F., & Karachik, V. V. (2015). Dunkl-Poisson Equation and Related Equations in Superspace. Mathematical Modelling and Analysis, 20(6), 768-781. https://doi.org/10.3846/13926292.2015.1112856

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November 23, 2015
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Copyright (c) 2015 The Author(s). Published by Vilnius Gediminas Technical University.

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Published

2015-11-23

Issue

Vol 20 No 6 (2015)

Section

Articles

Copyright

Copyright (c) 2015 The Author(s). Published by Vilnius Gediminas Technical University.

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Yuan, H. F., & Karachik, V. V. (2015). Dunkl-Poisson Equation and Related Equations in Superspace. Mathematical Modelling and Analysis, 20(6), 768-781. https://doi.org/10.3846/13926292.2015.1112856

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