## On the differentiability of quaternion functions## Omar Dzagnidze
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 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 H-derivatives.
Tbilisi Mathematical Journal, Vol. 5(1) (2012), pp. 1-15 |