TY - JOUR
T1 - On Cauchy Integral Theorem for Quaternionic Slice Regular Functions
AU - Cervantes, J. Oscar González
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - The aim of this work is to show that the operator G, which has been introduced in Colombo et al. (Trans Am Math Soc 365:303–318, 2013) and whose kernel kerG coincides with the set of quaternionic slice regular functions, is a member of a family of operators with similar properties, such that all the members possess the respective versions of Stokes and Cauchy–type integral theorems. As direct consequences, these theorems are obtained for slice regular functions.
AB - The aim of this work is to show that the operator G, which has been introduced in Colombo et al. (Trans Am Math Soc 365:303–318, 2013) and whose kernel kerG coincides with the set of quaternionic slice regular functions, is a member of a family of operators with similar properties, such that all the members possess the respective versions of Stokes and Cauchy–type integral theorems. As direct consequences, these theorems are obtained for slice regular functions.
KW - Non-constant coefficient differential operator
KW - Quaternionic Cauchy integral theorem
KW - Quaternionic Stokes theorem
KW - Quaternionic slice regular functions
KW - Quaternions
UR - http://www.scopus.com/inward/record.url?scp=85062997344&partnerID=8YFLogxK
U2 - 10.1007/s11785-019-00913-2
DO - 10.1007/s11785-019-00913-2
M3 - Artículo
AN - SCOPUS:85062997344
SN - 1661-8254
VL - 13
SP - 2527
EP - 2539
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 6
ER -