TY - JOUR
T1 - Cauchy Type Integral in Bicomplex Setting and Its Properties
AU - Bory-Reyes, Juan
AU - Pérez-Regalado, Cesar Octavio
AU - Shapiro, Michael
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - In this paper a bicomplex analogue of a Cauchy type integral in case of a hyperbolic curve of integration is studied. We derive the corresponding Plemelj–Sokhotski formulas for their limit values for all densities satisfying a BC-Hölder-type condition.
AB - In this paper a bicomplex analogue of a Cauchy type integral in case of a hyperbolic curve of integration is studied. We derive the corresponding Plemelj–Sokhotski formulas for their limit values for all densities satisfying a BC-Hölder-type condition.
KW - Cauchy type integral
KW - Hölder functions
KW - Plemelj–Sokhotski formula
UR - http://www.scopus.com/inward/record.url?scp=85065133720&partnerID=8YFLogxK
U2 - 10.1007/s11785-019-00918-x
DO - 10.1007/s11785-019-00918-x
M3 - Artículo
SN - 1661-8254
VL - 13
SP - 2541
EP - 2573
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 6
ER -