Turkish Journal of Mathematics
Abstract
We obtain some analogues of the Hilbert formulas on the unit circle for $\alpha$-hy\-per\-ho\-lo\-mor\-phic 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 Poincaré-Bertrand formula for the $\alpha$-hyperholomorphic singular integrals in the unit circle is presented.
DOI
10.3906/mat-1704-77
Keywords
Hilbert formulas, Poincaré-Bertrand formulas
First Page
862
Last Page
875
Recommended Citation
REYES, J. B, BLAYA, R. A, ROSA, M. A, & SCHNEIDER, B (2018). On the Hilbert formulas and of change of integration order for some singular integrals in the unit circle. Turkish Journal of Mathematics 42 (3): 862-875. https://doi.org/10.3906/mat-1704-77
