Singularities of functions of one and several bicomplex variables
By Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa, A. Vajiac, M. Vajiac. 2011
53 citations recorded by the source corpus.
In this paper we study the singularities of holomorphic functions of bicomplex variables introduced by G. B. Price (An Introduction to Multicomplex Spaces and Functions, Dekker, New York, 1991). In particular, we use computational algebra techniques to show that even in the case of one bicomplex variable, there cannot be compact singularities. The same techniques allow us to prove a duality theorem for such functions.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/eaa996d9371ac788973a168da938aac560d2014e
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In Applied Mathematics
- Irene Sabadini
- Fabrizio Colombo
- Daniele C. Struppa
- Caterina Stoppato
- Graziano Gentili
- Riccardo Ghiloni
- A. Perotti
- Daniel Alpay
Citations in the corpus
- Bicomplex holomorphic functional calculus (2014, background): “In this section we summarize the main properties of bicomplex numbers and of holomorphic functions of bicomplex numbers, and we refer the reader to [5], [10], [11], [12], [13], [14] for further details.”