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<p>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 <i>ψ</i>-Fueter operator. Motivated by this formula, we developed major steps of the associated Bergman theory.</p>

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Bergman Theory Induced by a Quaternionic Perturbed Fractional ψ-Fueter Operator

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • José O. González Cervantes,
  • Marco A.Pérez de la Rosa,
  • Juan Bory Reyes

摘要

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 ψ-Fueter operator. Motivated by this formula, we developed major steps of the associated Bergman theory.