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arXiv · 2206.02267

A fractional Borel-Pompeiu type formula and a related fractional $\psi-$Fueter operator with respect to a vector-valued function

José Oscar González-Cervantes·Juan Bory-Reyes
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Abstract

In this paper we combine the fractional $\psi-$hyperholomorphic function theory with the fractional calculus with respect to another function. As a main result, a fractional Borel-Pompeiu type formula related to a fractional $\psi-$Fueter operator with respect to a vector-valued function, is proved.

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José Oscar González-Cervantes, Juan Bory-Reyes. 2022-06-05. A fractional Borel-Pompeiu type formula and a related fractional $\psi-$Fueter operator with respect to a vector-valued function. https://doi.org/10.1002/mma.8625

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