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Solutions of Umbral Dirac-Type Equations

Author

Listed:
  • 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)

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.

Suggested Citation

  • Hongfen Yuan & Valery Karachik, 2024. "Solutions of Umbral Dirac-Type Equations," Mathematics, MDPI, vol. 12(2), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:2:p:344-:d:1323220
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