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Series Representation of Solutions of Polynomial Dirac Equations

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Abstract

In this paper, we consider the polynomial Dirac equation \( \left( D^m+\sum _{i=0}^{m-1}a_iD^i\right) u=0,\ (a_i\in {\mathbb {C}})\), where D is the Dirac operator in \({\mathbb {R}}^n\). We introduce a method of using series to represent explicit solutions of the polynomial Dirac equations.

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Correspondence to Doan Cong Dinh.

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Communicated by Heikki Orelma.

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Dinh, D.C. Series Representation of Solutions of Polynomial Dirac Equations. Adv. Appl. Clifford Algebras 33, 52 (2023). https://doi.org/10.1007/s00006-023-01297-5

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