On the Hilbert formulas on the unit circle for α-hyperholomorphic function theory

Abstract:

We obtain some analogues of the Hilbert formulas on the unit circle for α-hyperholomorphic function theory in R2 for α being a complex quaternionic number. The obtained formulas relate a pair of components of the boundary value of an α-hyperholomorphic function in the unit disc with the other pair of components and, hence, being analogous to the case of the theory of functions of one complex variable.

Año de publicación:

2018

Keywords:

• Hilbert operator
• 30G35
• 42B20
• 44A15
• singular integrals
• hyperholomorphic functions

Fuente:

scopus