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).

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) Vol. 224; no. 4; pp. 530 - 540
Main Authors: Kuzmenko, Tetyana S., Shpakivskyi, Vitalii S.
Format: Journal Article
Language:English
Published: New York Springer US 01.07.2017
Springer Nature B.V
Subjects:
Algebra
Mathematical analysis
Mathematics
Mathematics and Statistics
Quaternions
Theorems
Cauchy integral theorems
Algebra of complex quaternions
monogenic mappings
ISSN:1072-3374, 1573-8795
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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).
Bibliography: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