Abstract
Motivated by the general problem of extending the classical theory of holomorphic functions of a complex variable to the case of quaternion functions, we give a notion of an $\mathbb{H}$-derivative for functions of one quaternion variable. We show that the elementary quaternion functions introduced by Hamilton as well as the quaternion logarithm function possess such a derivative. We conclude by establishing rules for calculating $\mathbb{H}$-derivatives.
Citation
Omar Dzagnidze. "On the Differentiability of Quaternion Functions." Tbilisi Math. J. 5 (1) 1 - 15, 2012. https://doi.org/10.32513/tbilisi/1528768885
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