3 papers
Mobius invariant weighted reduced quaternionic Qp-modules
Isidro Paulino-Basurto, José Oscar González-Cervantes, Juan Bory-Reyes +1
In this paper, we introduce some weighted reduced quaternionic modules induced by a reduced quaternionic Cauchy-Riemann operator associated to arbitrary orthogonal bases of R3. A w…
Covariance property for a quaternionic fractional Cauchy-Riemann operator under affine transformation
Isidro Paulino-Basurto, José Oscar Gonzáles-Cervantes, Juan Bory-Reyes +1
In this paper, we continue the development of the foundations of a quaternionic function theory that is associated to a fractional proportional Cauchy-Riemann type operator acting…
The Borel-Pompieu formula involving proportional fractional -Cauchy-Riemann operators
José Oscar González-Cervantes, Isidro Paulino-Basurto, Juan Bory-Reyes
We prove an analog of the quaternionic Borel-Pompieu formula in the sense of proportional fractional -Cauchy-Riemann operators via Riemann-Liouville derivative with respect to a…