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Solutions of the Poisson Equation and Related Equations in Super Spinor Space

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Abstract

In this paper, we construct solutions to the polyharmonic equation, the Helmholtz equation, the Poisson equation and the inhomogeneous polyharmonic equation by the 0-normalized system of functions with respect to the Laplace operator in super spinor space. In an analogous way, applying the 0-normalized system of functions with respect to the Dirac operator in super spinor space, we obtain solutions to the polyDirac equation, the modified Dirac equation and the inhomogeneous Dirac equation.

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Authors and Affiliations

  1. College of Science, Hebei University of Engineering, Handan, 056038, China

    Hongfen Yuan

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  1. Hongfen Yuan
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Correspondence to Hongfen Yuan.

Additional information

Communicated by Stephan Ruscheweyh.

Research supported by the TianYuan Special Funds of the National Natural Science Foundation of China [No. 11426082], the Natural Science Foundation of Hebei Province [No. A2016402034] and Project of Handan Municipal Science and Technology Bureau [No. 1534201097-10].

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Yuan, H. Solutions of the Poisson Equation and Related Equations in Super Spinor Space. Comput. Methods Funct. Theory 16, 699–715 (2016). https://doi.org/10.1007/s40315-016-0166-y

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  • DOI: https://doi.org/10.1007/s40315-016-0166-y

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