English

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

Complex Variables 2022-09-27 v1

Abstract

In this paper we combine the fractional ψ\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 ψ\psi-Fueter operator with respect to a vector-valued function, is proved.

Keywords

Cite

@article{arxiv.2206.02267,
  title  = {A fractional Borel-Pompeiu type formula and a related fractional $\psi-$Fueter operator with respect to a vector-valued function},
  author = {José Oscar González-Cervantes and Juan Bory-Reyes},
  journal= {arXiv preprint arXiv:2206.02267},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2109.09604, arXiv:2111.05089