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arXiv · 0806.4403

Normal Families of Bicomplex Holomorphic Functions

K. S. Charak·D. Rochon·N. Sharma
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Abstract

In this article, we introduce the concept of normal families of bicomplex holomorphic functions to obtain a bicomplex Montel theorem. Moreover, we give a general definition of Fatou and Julia sets for bicomplex polynomials and we obtain a characterization of bicomplex Fatou and Julia sets in terms of Fatou set, Julia set and filled-in Julia set of one complex variable. Some 3D visual examples of bicomplex Julia sets are also given for the specific slice $\bold{j}=0$.

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BibTeXRIS

K. S. Charak, D. Rochon, N. Sharma. 2008-06-26. Normal Families of Bicomplex Holomorphic Functions. https://arxiv.org/abs/0806.4403

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