64 citations · 583 across the 32 of their papers we have counts for
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math.CV2008★ 45 cited
Regular Moebius transformations of the space of quaternions
Caterina Stoppato
Let H be the real algebra of quaternions. The notion of regular function of a quaternionic variable recently presented by G. Gentili and D. C. Struppa developed into a quite rich t…
math.CV2008★ 45 cited
Poles of regular quaternionic functions
Caterina Stoppato
This paper studies the singularities of Cullen-regular functions of one quaternionic variable. The quaternionic Laurent series prove to be Cullen-regular. The singularities of Cull…
math.CV2008★ 8 cited
The open mapping theorem for regular quaternionic functions
G. Gentili, C. Stoppato
The basic results of a new theory of regular functions of a quaternionic variable have been recently stated, following an idea of Cullen. In this paper we prove the minimum modulus…