Tampere University of Technology

TUTCRIS Research Portal

Hypermonogenic Functions of Two Vector Variables

Research output: Contribution to journalArticleScientificpeer-review

Details

Original languageEnglish
Pages (from-to)555–570
Number of pages16
JournalComplex Analysis and Operator Theory
Volume12
Issue number2
Early online date26 Sep 2017
DOIs
Publication statusPublished - 2018
Publication typeA1 Journal article-refereed

Abstract

In this paper we introduce the modified Dirac operators (Formula presented.) and (Formula presented.), where (Formula presented.) is differentiable function, and (Formula presented.) is the Clifford algebra generated by the basis vectors of (Formula presented.). We look for solutions (Formula presented.) of the system (Formula presented.), where the first and third variables are invariant under rotations. These functions are called (Formula presented.)-hypermonogenic functions. We discuss about axially symmetric functions with respect to the symmetric group (Formula presented.). Some examples of axially symmetric (Formula presented.)-hypermonogenic functions generated by homogeneous functions and hypergeometric functions are presented.

Keywords

  • Axially symmetric functions, Hypermonogenic functions, Modified Dirac operator, Several vector variables

Publication forum classification

Field of science, Statistics Finland