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

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.

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Publication Details

Journal
Ukrains’kyi Matematychnyi Zhurnal
Published
2025-05-08
DOI
https://doi.org/10.3842/umzh.v77i3.8381
Citations
2
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
7.45
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article

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

Juan Bory Reyes, José Óscar González-Cervantes, Marco Antonio Pérez‐de la Rosa
2 citations
Ukrains’kyi Matematychnyi Zhurnal
Algebraic and Geometric Analysis
7.45
article

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

Juan Bory Reyes, José Óscar González-Cervantes, Marco Antonio Pérez‐de la Rosa
article en
2 citations

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.

Ukrains’kyi Matematychnyi ZhurnalVol. 77(3)
Instituto Politécnico Nacional (MX), Universidad de las Américas Puebla (MX)
Openalex Percentile: Top 4%
Algebraic and Geometric Analysis
7.45
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