TY - JOUR
T1 - On the Hausdorff Analyticity for Quaternion-Valued Functions
AU - Luna-Elizarrarás, M. E.
AU - Shapiro, M.
AU - Shpakivskyi, V.
N1 - Publisher Copyright:
© 2018, Springer Nature Switzerland AG.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - 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 algebra H of Hamilton’s quaternions. The main aim of the work is to compare them with the well-known classes of H-valued functions which have their own definitions of the derivative.
AB - 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 algebra H of Hamilton’s quaternions. The main aim of the work is to compare them with the well-known classes of H-valued functions which have their own definitions of the derivative.
KW - Hausdorff derivative
KW - Quaternionic hyperholomorphic functions
KW - Quaternionic slice regular functions
KW - Quaternions
UR - http://www.scopus.com/inward/record.url?scp=85055708503&partnerID=8YFLogxK
U2 - 10.1007/s11785-018-0856-8
DO - 10.1007/s11785-018-0856-8
M3 - Artículo
SN - 1661-8254
VL - 13
SP - 2863
EP - 2880
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 6
ER -