[PDF][PDF] Integral theorems and a Cauchy formula in a commutative three-dimensional harmonic algebra
VS Shpakivskyi, SA Plaksa - Bulletin Soc. Sci. et Lettr. Lódz, 2010 - researchgate.net
Bulletin Soc. Sci. et Lettr. Lódz, 2010•researchgate.net
For monogenic functions taking values in a three-dimensional commutative harmonic
algebra with the unit and two-dimensional radical, we have proved analogs of classical
integral theorems of the theory of analytic functions of the complex variable: the Cauchy
integral theorems for surface integral and curvilinear integral, the Morera theorem and the
Cauchy integral formula.
algebra with the unit and two-dimensional radical, we have proved analogs of classical
integral theorems of the theory of analytic functions of the complex variable: the Cauchy
integral theorems for surface integral and curvilinear integral, the Morera theorem and the
Cauchy integral formula.
Summary
For monogenic functions taking values in a three-dimensional commutative harmonic algebra with the unit and two-dimensional radical, we have proved analogs of classical integral theorems of the theory of analytic functions of the complex variable: the Cauchy integral theorems for surface integral and curvilinear integral, the Morera theorem and the Cauchy integral formula.
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