Bory Reyes, JuanAbreu Blaya, RicardoPerez De La Rosa, Marco AntonioSchneider, BaruchRosa, Marco Antonio Perez De LaReyes, Juan BoryBlaya, Ricardo Abreu2023-06-162023-06-162018-05-081300-00981303-6149https://doi.org/10.3906/mat-1704-77https://search.trdizin.gov.tr/yayin/detay/348889https://hdl.handle.net/20.500.14365/2603https://search.trdizin.gov.tr/en/yayin/detay/348889We obtain some analogues of the Hilbert formulas on the unit circle for alpha-hyperholomorphic function theory when alpha is a complex number. Such formulas relate a pair of components of the boundary value of an alpha-hyperholomorphic function in the unit circle with the other one. Furthermore, the corresponding Poincare-Bertrand formula for the alpha-hyperholomorphic singular integrals in the unit circle is presented.eninfo:eu-repo/semantics/openAccessHilbert formulasPoincare-Bertrand formulasPoincare-Bertrand FormulaOperatorSphereMatematikArticle10.3906/mat-1704-772-s2.0-85046727553