A quaternionic fractional Borel-Pompeiu type formula

  title={A quaternionic fractional Borel-Pompeiu type formula},
  author={Jos'e Oscar Gonz'alez-Cervantes and Juan Bory-Reyes},
In theoretical setting, associated with a fractional ψ−Fueter operator that depends on an additional vector of complex parameters with fractional real parts, this paper establishes a fractional analogue of Borel-Pompeiu formula as a first step to develop a fractional ψ−hyperholomorphic function theory and the related operator calculus. 
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  • Mathematics
  • Proceedings of the Edinburgh Mathematical Society
  • 2016
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