Constructive description of monogenic functions in a harmonic algebra of the third rank

  • S. A. Plaksa Ин-т математики НАН Украины, Киев
  • V. S. Shpakovskii

Abstract

By using analytic functions of a complex variable, we give a constructive description of monogenic functions that take values in a commutative harmonic algebra of the third rank over the field of complex numbers. We establish an isomorphism between algebras of monogenic functions in the case of transition from one harmonic basis to another.
Published
25.08.2010
How to Cite
PlaksaS. A., and ShpakovskiiV. S. “Constructive Description of Monogenic Functions in a Harmonic Algebra of the Third Rank”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 8, Aug. 2010, pp. 1078–1091, https://umj.imath.kiev.ua/index.php/umj/article/view/2938.
Section
Research articles