5 citations · 18 across the 11 of their papers we have counts for
11 papers
Operators associated to the Cauchy-Riemann operator in elliptic complex numbers
D. Alayón-Solarz, C. J. Vanegas
In this article we provide a generalized version of the result of L.H. Son and W. Tutschke \cite{tut} on the solvability of first order systems on the plane whose initial functions…
The Cauchy-Pompeiu integral formula in elliptic complex numbers
D. Alayon-Solarz, C. J. Vanegas
The aim of this article is to give a generalization of the Cauchy-Pompeiu integral formula for functions valued in parameter-depending elliptic algebras with structure polynomial $…
On calculus with a quaternionic variable and its characteristic Cauchy-Riemann type equations
Daniel Alayon-Solarz
We show sufficient and necessary conditions, in terms of some partial differential equations with variable coefficients, for a quaternionic function to admit a continuous derivativ…
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…