5 citations · 18 across the 11 of their papers we have counts for
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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 generalization of a Cullen's Integral Theorem for the quaternions
Daniel Alayon-Solarz
We discuss the proof of a certain integral theorem obtained by C. G. Cullen, originally stated on the class of the analytic intrinsic functions on the quaternions. It is shown that…