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math.CV2025
A Quaternionic Integration Similar to the Complex One
Michael Parfenov
The conception of C- and H-representations of any holomorphic function is further extended to the notions, definitions, lemmas and theorems of the complex integration. On this basi…
math.CV2024
On Decompositions of H-holomorphic functions into quaternionic power series
Michael Parfenov
Based on the full similarity in algebraic properties and differentiation rules between quaternionic (H-) holomorphic and complex (C-) holomorphic functions, we assume that there ex…
math.CV2024
On the notion of a quaternionic holomorphic function
Michael Parfenov
A physically more adequate definition of a quaternionic holomorphic (H-holomorphic) function of one quaternionic variable compared to known ones and a quaternionic generalization o…