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Landau–Toeplitz theorems for slice regular functions over quaternions

Landau–Toeplitz theorems for slice regular functions over quaternions

The theory of slice regular functions of a quaternionic variable, as presented in [10], extends the notion of holomorphic function to the quaternionic setting.This theory, already rich of results, is sometimes surprisingly different from the theory of holomorphic functions of a complex variable.However, several fundamental results in the two environments …