Bory Reyes, J.Abreu Blaya, R.Perez-de la Rosa, M. A.Schneider, B.2023-06-162023-06-1620181747-69331747-6941https://doi.org/10.1080/17476933.2017.1385067https://hdl.handle.net/20.500.14365/1774We obtain some analogues of the Hilbert formulas on the unit circle for alpha-hyperholomorphic function theory in R-2 for a being a complex quaternionic number. The obtained formulas relate a pair of components of the boundary value of an alpha-hyperholomorphic function in the unit discwith the other pair of components and, hence, being analogous to the case of the theory of functions of one complex variable.eninfo:eu-repo/semantics/closedAccessHilbert operatorhyperholomorphic functionssingular integralsSphereArticle10.1080/17476933.2017.13850672-s2.0-85052234559