The focus of this paper is to present a characterization of bicomplex holomorphic function in terms of the directional derivatives over the idempotent planes. Moreover we give an equivalence between bicomplex holomorphy and the Stolz’s condition. We have considered different representation of bicomplex numbers and applying tools of complex analysis.
CITATION STYLE
Reséndis O, L. F., Téllez S, G. Y., & Tovar S, L. M. (2022). Directional Derivatives and Stolz Condition for Bicomplex Holomorphic Functions. In Trends in Mathematics (pp. 201–207). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-87502-2_20
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