Characterization of bc and strongly bc-polyharmonic functions

Abdelkader Abouricha; Lamya Bouali; Allal Ghanmi

doi:10.56754/0719-0646.2801.205

DOI:

https://doi.org/10.56754/0719-0646.2801.205

Abstract

We provide new characterizations of the bicomplex harmonic and strongly bc-harmonic functions in terms of bc-holomorphic functions. An extension to the bc-polyharmonic setting is investigated. We also derive similar bicomplex analog for strongly bc-polyharmonic functions of finite bi-order.

Keywords

bc-polyholomorphic functions , bc-harmonic functions , strongly bc-harmonic functions , bc-polyharmonicity , Almansi’s theorem

Mathematics Subject Classification:

30G35 , 32A30 , 30F15

Abdelkader Abouricha Analysis, P.D.E & Spectral Geometry, Lab M.I.A.-S.I., CeReMAR, Department of Mathematics, P.O. Box 1014, Faculty of Sciences, Mohammed V University in Rabat, Morocco. https://orcid.org/0009-0000-5490-2884
Lamya Bouali Analysis, P.D.E & Spectral Geometry, Lab M.I.A.-S.I., CeReMAR, Department of Mathematics, P.O. Box 1014, Faculty of Sciences, Mohammed V University in Rabat, Morocco. https://orcid.org/0009-0005-3544-2516
Allal Ghanmi Analysis, P.D.E & Spectral Geometry, Lab M.I.A.-S.I., CeReMAR, Department of Mathematics, P.O. Box 1014, Faculty of Sciences, Mohammed V University in Rabat, Morocco. https://orcid.org/0000-0003-0764-5576

Pages: 205–225
Date Published: 2026-01-27
Vol. 28 No. 1 (2026)

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