Dunkl-Poisson Equation and Related Equations in Superspace

作者：Yuan Hong Fen^*; Karachik Valery V

来源：Mathematical Modelling and Analysis, 2015, 20(6): 768-781.

DOI：10.3846/13926292.2015.1112856

• normalized system
• super Dunkl-Laplace operator
• Dunkl-Helmholtz equation
• Dunkl-Poisson equation
• inhomogeneous Dunkl-polyharmonic equation

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.

• 出版日期2015-11-2
• 单位河北工程大学