Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator

Authors

  • José O. González Cervantes Departamento de Matemáticas, ESFM-Instituto Politécnico Nacional, Ciudad México, Mexico
  • Marco A. Pérez de la Rosa Department of Actuarial Sciences, Physics and Mathematics, Universidad de las Américas Puebla, San Andrés Cholula, Puebla, Mexico
  • Juan Bory Reyes ESIME-Zacatenco-Instituto Politécnico Nacional, Ciudad México, Mexico

DOI:

https://doi.org/10.3842/umzh.v77i3.8381

Keywords:

Quaternionic analysis, Borel-Pompeiu formulas, Bergman theory, perturbed fractional $\psi$-Fueter operator

Abstract

UDC 517.5

A useful tool proved in the present paper is the Borel–Pompeiu formula for the resulting function class of null solutions of the quaternionic perturbed fractional $\psi$-Fueter operator. Motivated by this formula, we  developed major steps of the associated Bergman theory.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 3, 2025.

Downloads

Published

07.11.2025

Issue

Vol. 77 No. 3 (2025)

Section

Research articles

License

Copyright (c) 2025 José O. González Cervantes, Marco A. Pérez de la Rosa, Juan Bory Reyes

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Cervantes, José O. González, et al. “Bergman Theory Induced by a Quaternionic Perturbed Fractional $\psi$-Fueter Operator”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 3, Nov. 2025, pp. 228–229, https://doi.org/10.3842/umzh.v77i3.8381.