TY - JOUR
T1 - A FRACTIONAL BOREL-POMPEIU-TYPE FORMULA FOR HOLOMORPHIC FUNCTIONS OF TWO COMPLEX VARIABLES
AU - González-Cervantes, José Oscar
AU - Bory-Reyes, Juan
N1 - Publisher Copyright:
© 2022 World Scientific Publishing Company.
PY - 2022/6/1
Y1 - 2022/6/1
N2 - This paper is a continuation of our work [J. O. González Cervantes and J. Bory Reyes, A quaternionic fractional Borel-Pompeiu type formula, Fractal 30(1) (2022) 2250013], where we introduced a fractional operator calculus related to a fractional ψ-Fueter operator in the one-dimensional Riemann-Liouville derivative sense in each direction of the quaternionic structure, that depends on an additional vector of complex parameters with fractional real parts. This allowed us also to study a pair of lower order fractional operators and prove the associated analogues of both Stokes and Borel-Pompieu formulas for holomorphic functions in two complex variables.
AB - This paper is a continuation of our work [J. O. González Cervantes and J. Bory Reyes, A quaternionic fractional Borel-Pompeiu type formula, Fractal 30(1) (2022) 2250013], where we introduced a fractional operator calculus related to a fractional ψ-Fueter operator in the one-dimensional Riemann-Liouville derivative sense in each direction of the quaternionic structure, that depends on an additional vector of complex parameters with fractional real parts. This allowed us also to study a pair of lower order fractional operators and prove the associated analogues of both Stokes and Borel-Pompieu formulas for holomorphic functions in two complex variables.
KW - Borel-Pompeiu Formula
KW - Fractional Derivatives
KW - Holomorphic Functions of Several Complex Variables
KW - Quaternionic Analysis
UR - http://www.scopus.com/inward/record.url?scp=85131551710&partnerID=8YFLogxK
U2 - 10.1142/S0218348X2250092X
DO - 10.1142/S0218348X2250092X
M3 - Artículo
AN - SCOPUS:85131551710
SN - 0218-348X
VL - 30
JO - Fractals
JF - Fractals
IS - 4
M1 - 2250092
ER -