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Title
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Differentiable functions of quaternion variables
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Author
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Abstract
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| We investigate differentiability of functions defined on regions of the real quaternion field and obtain a noncommutative version of the Cauchy-Riemann conditions. Then we study the noncommutative analog of the Cauchy integral as well as criteria for functions of a quternion variable to be analytic. In particular, the quaternionic exponential and logarithmic functions are being considered. Main results include quaternion versions of Hurwitz' theorem, Mittag-Leffler's theorem and Weierstrass' theorem. (C) 2003 Editions scientifiques et medicales Elsevier SAS. All rights reserved. |
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Language
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English
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Source (journal)
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Bulletin des sciences mathématiques. - Paris, 1885, currens
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Publication
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Paris
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Gauthier-Villars
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2003
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ISSN
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0007-4497
[print]
1952-4773
[online]
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DOI
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10.1016/S0007-4497(03)00063-0
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Volume/pages
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127
:9
(2003)
, p. 755-796
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ISI
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000186564800001
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Full text (Publisher's DOI)
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Full text (open access)
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