Solutions of Umbral Dirac-Type Equations

Hongfen Yuan () and Valery Karachik
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Hongfen Yuan: School of Mathematics and Physics, Hebei University of Engineering, Handan 056038, China
Valery Karachik: Department of Mathematical Analysis, South Ural State University (NRU), 454080 Chelyabinsk, Russia

Mathematics, 2024, vol. 12, issue 2, 1-18

Abstract: The aim of this work is to study the method of the normalized systems of functions. The normalized systems of functions with respect to the Dirac operator in the umbral Clifford analysis are constructed. Furthermore, the solutions of umbral Dirac-type equations are investigated by the normalized systems.

Keywords: normalized systems of functions; umbral Dirac equation; umbral Clifford analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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