Generalized integral theorems for quaternionic G-monogenic mappings

For G -monogenic mappings taking values in the algebra of complex quaternions, we generalize some analogues of classical integral theorems of the holomorphic function theory of complex variable (the surface and curvilinear Cauchy integral theorems).

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) Jg. 224; H. 4; S. 530 - 540
Hauptverfasser: Kuzmenko, Tetyana S., Shpakivskyi, Vitalii S.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.07.2017
Springer Nature B.V
Schlagworte:
Algebra
Mathematical analysis
Mathematics
Mathematics and Statistics
Quaternions
Theorems
Cauchy integral theorems
Algebra of complex quaternions
monogenic mappings
ISSN:1072-3374, 1573-8795
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Zusammenfassung:For G -monogenic mappings taking values in the algebra of complex quaternions, we generalize some analogues of classical integral theorems of the holomorphic function theory of complex variable (the surface and curvilinear Cauchy integral theorems).
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ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-017-3433-1