TY - JOUR
T1 - Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator
AU - Ceballos, Johan
AU - Coloma, Nicolás
AU - Di Teodoro, Antonio
AU - Ochoa–Tocachi, Diego
N1 - Publisher Copyright:
© 2020, Springer Nature Switzerland AG.
PY - 2020/11/1
Y1 - 2020/11/1
N2 - In this paper, we present a characterization of all linear fractional order partial differential operators with complex-valued coefficients that are associated to the generalized fractional Cauchy–Riemann operator in the Riemann–Liouville sense. To achieve our goal, we make use of the technique of an associated differential operator applied to the fractional case.
AB - In this paper, we present a characterization of all linear fractional order partial differential operators with complex-valued coefficients that are associated to the generalized fractional Cauchy–Riemann operator in the Riemann–Liouville sense. To achieve our goal, we make use of the technique of an associated differential operator applied to the fractional case.
KW - Associated pair
KW - Fractional Cauchy–Riemann
KW - Fractional calculus
KW - Generalized analytic functions
KW - Linear fractional differential system
UR - http://www.scopus.com/inward/record.url?scp=85092513353&partnerID=8YFLogxK
U2 - 10.1007/s00006-020-01096-2
DO - 10.1007/s00006-020-01096-2
M3 - Artículo
AN - SCOPUS:85092513353
SN - 0188-7009
VL - 30
JO - Advances in Applied Clifford Algebras
JF - Advances in Applied Clifford Algebras
IS - 5
M1 - 70
ER -