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In this paper, we first study an expansion for the operators $$\begin{aligned} (\partial _{x}-\lambda )^{k}, \end{aligned}$$ ( ∂ x - λ ) k , where $$\partial _{x}$$ ∂ x is the Dirac operator in superspace and $$\lambda $$ λ is a complex number. Then we investigate expansions for polynomial Dirac operators in superspace. These expansions are regarded as generalized Almansi expansions in superspace. As an application of the expansions, the modified Riquier problem in superspace is considered.
Computational Methods and Function Theory – Springer Journals
Published: Jan 19, 2016
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