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math.CV2026
On the Fueter-Sce theorem and Cauchy-Kovalevskaya extensions over alternative -algebras
Qinghai Huo, Irene Sabadini, Zhenghua Xu
Recently, the concept of generalized partial-slice monogenic (or regular) functions has been introduced and studied over Clifford algebras and octonions, respectively. In this pape…
math.CV2024
Almansi-type decomposition and Fueter-Sce theorem for generalized partial-slice regular functions
Qinghai Huo, Pan Lian, Jiajia Si +1
Very recently, the concept of generalized partial-slice monogenic (or regular) functions has been introduced to unify the theory of monogenic functions and of slice monogenic funct…
math.CV2023★ 2 cited
Schwarz lemma for harmonic functions in the unit ball
Zhenghua Xu, Ting Yu, Qinghai Huo
Recently, it is proven that positive harmonic functions defined in the unit disc or the upper half-plane in are contractions in hyperbolic metrics \cite{Markovic}. Fur…