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math.CV2026
The Four-Point Picard Theorem for Quaternionic Slice Regular Functions
Guangbin Ren, Xin Zhao
An entire slice regular function can omit four prescribed quaternionic values only in the affine-dependent case. More precisely, four affinely independent…
math.CV2026
Monogenic functions over real alternative *-algebras: fundamental results and applications
Qinghai Huo, Guangbin Ren, Zhenghua Xu
The concept of monogenic functions over real alternative -algebras has recently been introduced to unify several classical monogenic (or regular) functions theories in hyperc…
math.CV2026
Slice Fueter-regular functions on arbitrary domains in octonions
Xinyuan Dou, Guangbin Ren, Zeping Zhu +1
This paper is concerned with a class of generalized slice Fueter-regular functions on arbitrary domains in O with local stem functions. Some classical theorems such as the maximum…