A fractional Borel-Pompeiu type formula for holomorphic functions of two complex variables
arXiv:2111.04156 · doi:10.1142/S0218348X2250092X
Abstract
The present paper is a continuation of our work [11], where we introduced a fractional operator calculus related to a fractional 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.
arXiv admin note: substantial text overlap with arXiv:2109.09604; text overlap with arXiv:2109.10881