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dc.contributor.authorPacharapokin, Chanapat-
dc.contributor.authorYamazaki, Hiroshi-
dc.contributor.authorShidama, Yasunari-
dc.contributor.authorNakamura, Yatsuka-
dc.date.accessioned2015-12-01T19:26:33Z-
dc.date.available2015-12-01T19:26:33Z-
dc.date.issued2009-
dc.identifier.citationFormalized Mathematics, Volume 17, Issue 2, 2009, Pages 67-72-
dc.identifier.issn1426-2630-
dc.identifier.issn1898-9934-
dc.identifier.urihttp://hdl.handle.net/11320/3521-
dc.description.abstractFor a complex valued function defined on its domain in complex numbers the differentiability in a single point and on a subset of the domain is presented. The main elements of differential calculus are developed. The algebraic properties of differential complex functions are shown.-
dc.language.isoen-
dc.publisherDe Gruyter Open-
dc.titleComplex Function Differentiability-
dc.typeArticle-
dc.identifier.doi10.2478/v10037-009-0007-9-
dc.description.AffiliationPacharapokin Chanapat - Shinshu University, Nagano, Japan-
dc.description.AffiliationYamazaki Hiroshi - Shinshu University, Nagano, Japan-
dc.description.AffiliationShidama Yasunari - Shinshu University, Nagano, Japan-
dc.description.AffiliationNakamura Yatsuka - Shinshu University, Nagano, Japan-
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dc.description.referencesCzesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990.-
dc.description.referencesCzesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.-
dc.description.referencesCzesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.-
dc.description.referencesCzesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.-
dc.description.referencesKrzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.-
dc.description.referencesJarosław Kotowicz. Convergent sequences and the limit of sequences. Formalized Mathematics, 1(2):273-275, 1990.-
dc.description.referencesJarosław Kotowicz. Monotone real sequences. Subsequences. Formalized Mathematics, 1(3):471-475, 1990.-
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dc.description.referencesJarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990.-
dc.description.referencesTakashi Mitsuishi, Katsumi Wasaki, and Yasunari Shidama. Property of complex sequence and continuity of complex function. Formalized Mathematics, 9(1):185-190, 2001.-
dc.description.referencesAdam Naumowicz. Conjugate sequences, bounded complex sequences and convergent complex sequences. Formalized Mathematics, 6(2):265-268, 1997.-
dc.description.referencesYasunari Shidama and Artur Korniłowicz. Convergence and the limit of complex sequences. Series. Formalized Mathematics, 6(3):403-410, 1997.-
dc.description.referencesAndrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990.-
dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.-
dc.description.referencesEdmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.-
dc.description.referencesEdmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.-
Występuje w kolekcji(ach):Formalized Mathematics, 2009, Volume 17, Issue 2

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