activity
20182026
most citedExtension theorem and representation formula in non-axially symmetric domains for slice regular functions

7 citations · 21 across the 13 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.CV2018★ 1 cited

Riemann slice-domains over quaternions II

Xinyuan Dou, Guangbin Ren

We generalize the representation formula from slice-domains of regularity to general Riemann slice-domains. This result allows us to extend the -product of slice regular functio…

math.CV2018★ 1 cited

Riemann slice-domains over quaternions I

Xinyuan Dou, Guangbin Ren

We construct a counterexample to a well-known extension theorem for slice regular functions, which motivates us to develop a theory of Riemann slice-domains by introducing a new to…