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NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS.
- Source :
-
Fractals . Sep2009, Vol. 17 Issue 3, p257-268. 12p. 4 Color Photographs. - Publication Year :
- 2009
-
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 j = 0. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0218348X
- Volume :
- 17
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Fractals
- Publication Type :
- Academic Journal
- Accession number :
- 43792844
- Full Text :
- https://doi.org/10.1142/S0218348X09004314