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ABSTRACT
We obtain some analogues of the Hilbert formulas on the unit circle for -hyperholomorphic function theory in
for
being a complex quaternionic number. The obtained formulas relate a pair of components of the boundary value of an
-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.
Acknowledgements
The authors would like to express their gratitude to the referees for their helpful comments. M. A. Pérez de la Rosa wish to thank Dra. Luna and Dr. Shapiro for their professional guidance and valuable support on this research work.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
J. Bory Reyes was partially supported by Instituto Politécnico Nacional in the framework of SIP programmes. M. A. Pérez de la Rosa was partially supported by a Postdoctoral Fellowship from CONACYT.