On the Hausdorff Analyticity for Quaternion-Valued Functions

M. E. Luna-Elizarrarás, M. Shapiro, V. Shpakivskyi

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We consider the concept of the Hausdorff analyticity for functions ranged in real algebras and the corresponding notion of the Hausdorff derivative. Both apply to the real algebra H of Hamilton’s quaternions. The main aim of the work is to compare them with the well-known classes of H-valued functions which have their own definitions of the derivative.

Original languageEnglish
Pages (from-to)2863-2880
Number of pages18
JournalComplex Analysis and Operator Theory
Volume13
Issue number6
DOIs
StatePublished - 1 Sep 2019
Externally publishedYes

Keywords

  • Hausdorff derivative
  • Quaternionic hyperholomorphic functions
  • Quaternionic slice regular functions
  • Quaternions

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