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math.CV2023
Harmonic and monogenic functions on toroidal domains
Z. Ashtab, J. Morais, R. Michael Porter
A standard technique for producing monogenic functions is to apply the adjoint quaternionic Fueter operator to harmonic functions. We will show that this technique does not give a…
math.CV2022★ 1 cited
Quaternionic metamonogenic functions in the unit disk
J. Morais, R. Michael Porter
We construct a set of quaternionic metamonogenic functions (that is, in $\mbox{Ker}(D+λ)$ for diverse ) in the unit disk, such that every metamonogenic function is approximable…