On the Hilbert formulas and of change of integration order for some singular integrals in the unit circle

Abstract:

We obtain some analogues of the Hilbert formulas on the unit circle for α-hyperholomorphic function theory when α is a complex number. Such formulas relate a pair of components of the boundary value of an α-hyperholomorphic function in the unit circle with the other one. Furthermore, the corresponding Poincaré-Bertrand formula for the α- hyperholomorphic singular integrals in the unit circle is presented.

Año de publicación:

2018

Keywords:

• Poincaré-Bertrand formulas
• Hilbert formulas

Fuente:

scopus