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Ukrainian Mathematical Journal

, Volume 65, Issue 7, pp 1079–1086 | Cite as

On the Logarithmic Residues of Monogenic functions in a Three-Dimensional Harmonic Algebra with Two-Dimensional Radical

  • S. A. Plaksa
  • V. S. Shpakovskii
Article
  • 38 Downloads

For monogenic (continuous and Gâteaux-differentiable) functions taking values in a three-dimensional harmonic algebra with two-dimensional radical, we compute the logarithmic residue. It is shown that the logarithmic residue depends not only on the roots and singular points of a function but also on the points at which the function takes values in the radical of a harmonic algebra.

Keywords

Singular Point Holomorphic Function Laurent Series Logarithmic Derivative Monogenic Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • S. A. Plaksa
    • 1
  • V. S. Shpakovskii
    • 1
  1. 1.Institute of MathematicsUkrainian National Academy of SciencesKyivUkraine

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