3 citations · 4 across the 6 of their papers we have counts for
6 papers
Semiweak Cullen-regular quaternionic functions
Daniel Alayon-Solarz
We introduce the class of semiweak Cullen-regular quaternionic functions by interpreting Cullen-regular functions as solutions to an inhomogeneous PDE in terms of the Fueter operat…
The quaternionic Cullen-regular product for a larger class of functions
Daniel Alayon-Solarz
We introduce the regular product for Cullen-regular quaternionic functions in a manner that does not depend upon a representation in power series but upon another, weaker kind of r…
Cullen-regular quaternionic functions in a Fueter operator framework
Daniel Alayon-Solarz
We show characterizations of the class of Cullen-regular functions in the sense of Gentili-Struppa for any domain in terms of the Fueter operator. We then state a Integral Theo…
A note about the factorization of the angular part of the Laplacian and its application to the time-independent Schrödinger equation
Daniel Alayon-Solarz
Removing al least one point from the unit sphere in allows to factorize the angular part of the laplacian with a Cauchy-Riemann type operator. Solutions to this operator d…
A generalization of Fueter's Theorem
Daniel Alayon-Solarz
We show that Fueter's theorem holds for a more general class of quaternionic functions than those constructed by the Fueter's method.
A Very Brief Note on Some Commutative Algebraic Properties of a Dirac-Fueter Modified Equation
Daniel Alayon-Solarz
We call attention to the unusual properties that the 4 dimensional solutions for a modified Fueter-Dirac equations satisfy: In a coordinate-free, constant-free and strictly mathema…