%0 Journal Article %@ 1661-8254 %A Luna-Elizarrarás, M. E. %A Shapiro, M. %A Шпакiвський, В. С. %D 2018 %F zu2:28409 %I Springer %J Complex Analysis and Operator Theory %K Hausdorff derivative · Quaternions · Quaternionic hyperholomorphic functions · Quaternionic slice regular functions %T On the Hausdorff Analyticity for Quaternion-Valued Functions %U http://eprints.zu.edu.ua/28409/ %X We consider the concept of the Hausdorff analyticity for functions ranged in real algebras and the corresponding notion of the Hausdorff derivative. Both apply to the real algebraHof Hamilton’s quaternions. The main aim of thework is to compare them with the well-known classes of H-valued functions which have their own definitions of the derivative.