TY - JOUR
T1 - Fractional Bicomplex Leibniz Type Rule inthe Riemann-Liouville Sense
AU - Coloma, Nicolás
AU - Di Teodoro, Antonio
AU - Ochoa-Tocachi, Diego
AU - Palacios, José
AU - Ponce, Francisco
N1 - Publisher Copyright:
© 2023, Universidad Simon Bolivar. All rights reserved.
PY - 2023
Y1 - 2023
N2 - In this paper we find a Leibniz type formula in the Riemann-Liouville sense that involves the weighted Cauchy-Riemann operator in a bicomplex algebra. To do this, we construct the Leibniz type rule in an analogous way in which the complex case is built [1], defining weighted Cauchy-Riemann Bicomplex operators and studying the behavior of the residue.
AB - In this paper we find a Leibniz type formula in the Riemann-Liouville sense that involves the weighted Cauchy-Riemann operator in a bicomplex algebra. To do this, we construct the Leibniz type rule in an analogous way in which the complex case is built [1], defining weighted Cauchy-Riemann Bicomplex operators and studying the behavior of the residue.
KW - Fractional Cauchy-Riemann operator
KW - Leibniz type rule
KW - bicomplex algebra
KW - fractional bicomplex functions
KW - weighted Cauchy-Riemann operator
UR - http://www.scopus.com/inward/record.url?scp=85187140247&partnerID=8YFLogxK
M3 - Artículo
AN - SCOPUS:85187140247
SN - 2244-8659
VL - 11
SP - 103
EP - 139
JO - Bulletin of Computational Applied Mathematics
JF - Bulletin of Computational Applied Mathematics
IS - 1
ER -