On the Laurent series for bicomplex holomorphic functions

M. E. Luna-Elizarrarás, C. O. Pérez-Regalado, M. Shapiro

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We consider the notion of the Laurent series for the theory of bicomplex holomorphic functions. Some basic properties of it are established. A special attention is paid to a detailed description of the sets of convergence and divergence of such series which reveals many peculiarities of the situation.

Original languageEnglish
Pages (from-to)1266-1286
Number of pages21
JournalComplex Variables and Elliptic Equations
Volume62
Issue number9
DOIs
StatePublished - 2 Sep 2017

Keywords

  • Bicomplex Laurent series
  • bicomplex holomorphic functions
  • bicomplex spheres

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