TY - JOUR
T1 - On the derivatives of quaternionic functions along two-dimensional planes
AU - Luna-Elizarraŕas, M. E.
AU - Maćias-Cedeño, M. A.
AU - Shapiro, M.
N1 - Funding Information:
∗The research was partially supported by CONACYT projects as well as by Instituto Politécnico Nacional in the framework of COFAA and SIP programs. ∗∗The research was supported by Instituto Tecnológico y de Estudios Superiores de Monterrey.
PY - 2009
Y1 - 2009
N2 - In a previous paper we introduced the concept of a two-dimensional directional derivative of a quaternionic function along a two-dimensional plane. In this paper we provide a deeper analysis of its properties, as well as of its relations with hyperholomorphic functions, with holomorphic maps of two complex variables and with Cullen-regular functions.
AB - In a previous paper we introduced the concept of a two-dimensional directional derivative of a quaternionic function along a two-dimensional plane. In this paper we provide a deeper analysis of its properties, as well as of its relations with hyperholomorphic functions, with holomorphic maps of two complex variables and with Cullen-regular functions.
KW - Cullen-regular functions
KW - Holomorphic functions of two complex variables
KW - Two-dimensional directional derivative
UR - http://www.scopus.com/inward/record.url?scp=70349979965&partnerID=8YFLogxK
U2 - 10.1007/s00006-009-0165-4
DO - 10.1007/s00006-009-0165-4
M3 - Artículo
SN - 0188-7009
VL - 19
SP - 375
EP - 390
JO - Advances in Applied Clifford Algebras
JF - Advances in Applied Clifford Algebras
IS - 2
ER -