TY - JOUR
T1 - A bicomplex (ϑ,φ)-weighted fractional Borel-Pompeiu type formula
AU - González-Cervantes, José Oscar
AU - Bory-Reyes, Juan
N1 - Publisher Copyright:
© 2022 Elsevier Inc.
PY - 2023/4/15
Y1 - 2023/4/15
N2 - The purpose of this paper is to establish a Borel-Pompeiu type formula induced from a fractional bicomplex (ϑ,φ)-weighted Cauchy-Riemann operator, where the weights are two hyperbolic orthogonal bicomplex functions and the fractionality is understood in the sense of Riemann-Liouville and Caputo approaches.
AB - The purpose of this paper is to establish a Borel-Pompeiu type formula induced from a fractional bicomplex (ϑ,φ)-weighted Cauchy-Riemann operator, where the weights are two hyperbolic orthogonal bicomplex functions and the fractionality is understood in the sense of Riemann-Liouville and Caputo approaches.
KW - Bicomplex analysis
KW - Borel-Pompeiu formula
KW - Cauchy-Riemann operator
KW - Riemann-Liouville and Caputo derivatives
UR - http://www.scopus.com/inward/record.url?scp=85144787609&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2022.126923
DO - 10.1016/j.jmaa.2022.126923
M3 - Artículo
AN - SCOPUS:85144787609
SN - 0022-247X
VL - 520
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
M1 - 126923
ER -