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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Vydané v:Journal of mathematical sciences (New York, N.Y.) Ročník 224; číslo 4; s. 530 - 540
Hlavní autori: Kuzmenko, Tetyana S., Shpakivskyi, Vitalii S.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Springer US 01.07.2017
Springer Nature B.V
Predmet:
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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Popis
Shrnutí: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).
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-017-3433-1