5 citations · 6 across the 4 of their papers we have counts for
4 papers
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…
Neumann problem on a torus
Z. Ashtab, J. Morais, R. M. Porter
We consider the Dirichlet-to-Neumann mapping and the Neumann problem for the Laplace operator on a torus, given in toroidal coordinates. The Dirichlet-to-Neumann mapping is express…
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…
Contragenic Functions on Spheroidal Domains
R. García Ancona, J. Morais, R. Michael Porter
We construct bases of polynomials for the spaces of square-integrable harmonic functions which are orthogonal to the monogenic and antimonogenic -valued functions def…