Integral theorems for the quaternionic G-monogenic mappings

Integral theorems for the quaternionic G-monogenic mappings

In the paper [1] considered a new class of quaternionic mappings, so- called G-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and curvilinear integrals, and the Cauchy integral formula f...

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Veröffentlicht in:Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică 2016-06, Vol.24 (2), p.271-281
Hauptverfasser: Shpakivskyi, V. S., Kuzmenko, T. S.
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy integral formula
Cauchy integral theorem
G-monogenic mapping
Primary 30G35
quaternion algebra
Secondary 11R52
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Zusammenfassung:In the paper [1] considered a new class of quaternionic mappings, so- called G-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and curvilinear integrals, and the Cauchy integral formula for G-monogenic mappings.
ISSN:1844-0835
1224-1784
1844-0835
DOI:10.1515/auom-2016-0042