TY - JOUR
T1 - Complex Laplacian and Derivatives of Bicomplex Functions
AU - Luna-Elizarrarás, M. E.
AU - Shapiro, M.
AU - Struppa, D. C.
AU - Vajiac, A.
N1 - Funding Information:
M. E. Luna-Elizarrarás and M. Shapiro have been partially supported by CONACYT projects as well by Instituto Politécnico Nacional in the framework of COFAA and SIP programs. All the four authors are grateful to Chapman University for the support offered in preparing the final stages of this article.
PY - 2013/10
Y1 - 2013/10
N2 - In this paper we study in detail the theory of bicomplex holomorphy, in the context of the several ways in which bicomplex numbers can be considered. In particular we will show how the notions of bicomplex derivability and bicomplex holomorphy can be interpreted in these different ways, and the consequences that can be derived.
AB - In this paper we study in detail the theory of bicomplex holomorphy, in the context of the several ways in which bicomplex numbers can be considered. In particular we will show how the notions of bicomplex derivability and bicomplex holomorphy can be interpreted in these different ways, and the consequences that can be derived.
KW - Bicomplex derivability
KW - Bicomplex differentiability
KW - Bicomplex holomorphic functions
KW - Complex and hyperbolic Laplacians
UR - http://www.scopus.com/inward/record.url?scp=84884588917&partnerID=8YFLogxK
U2 - 10.1007/s11785-013-0284-8
DO - 10.1007/s11785-013-0284-8
M3 - Artículo
SN - 1661-8254
VL - 7
SP - 1675
EP - 1711
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 5
ER -