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  2. Czasopisma naukowe / Journals
  3. Formalized Mathematics
  4. Formalized Mathematics, 2009, Volume 17, Issue 2

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    • Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/3530
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    Pole DCWartośćJęzyk
    dc.contributor.authorYamazaki, Hiroshi-
    dc.contributor.authorShidama, Yasunari-
    dc.contributor.authorNakamura, Yatsuka-
    dc.contributor.authorPacharapokin, Chanapat-
    dc.date.accessioned2015-12-01T19:26:34Z-
    dc.date.available2015-12-01T19:26:34Z-
    dc.date.issued2009-
    dc.identifier.citationFormalized Mathematics, Volume 17, Issue 2, 2009, Pages 147-149-
    dc.identifier.issn1426-2630-
    dc.identifier.issn1898-9934-
    dc.identifier.urihttp://hdl.handle.net/11320/3530-
    dc.description.abstractIn this article we prove Cauchy-Riemann differential equations of complex functions. These theorems give necessary and sufficient condition for differentiable function.-
    dc.language.isoen-
    dc.publisherDe Gruyter Open-
    dc.titleThe Cauchy-Riemann Differential Equations of Complex Functions-
    dc.typeArticle-
    dc.identifier.doi10.2478/v10037-009-0016-8-
    dc.description.AffiliationYamazaki Hiroshi - Shinshu University, Nagano, Japan-
    dc.description.AffiliationShidama Yasunari - Shinshu University, Nagano, Japan-
    dc.description.AffiliationNakamura Yatsuka - Shinshu University, Nagano, Japan-
    dc.description.AffiliationPacharapokin Chanapat - Shinshu University, Nagano, Japan-
    dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.-
    dc.description.referencesGrzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.-
    dc.description.referencesCzesław Byliński. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.-
    dc.description.referencesCzesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990.-
    dc.description.referencesCzesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 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.referencesCzesław Byliński. The sum and product of finite sequences of real numbers. Formalized Mathematics, 1(4):661-668, 1990.-
    dc.description.referencesAgata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991.-
    dc.description.referencesNoboru Endou and Yasunari Shidama. Completeness of the real Euclidean space. Formalized Mathematics, 13(4):577-580, 2005.-
    dc.description.referencesNoboru Endou, Yasunari Shidama, and Keiichi Miyajima. Partial differentiation on normed linear spaces Rn. Formalized Mathematics, 15(2):65-72, 2007, doi:10.2478/v10037-007-0008-5.-
    dc.description.referencesJarosław Kotowicz. Convergent sequences and the limit of sequences. Formalized Mathematics, 1(2):273-275, 1990.-
    dc.description.referencesJarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990.-
    dc.description.referencesChanapat Pacharapokin, Hiroshi Yamazaki, Yasunari Shidama, and Yatsuka Nakamura. Complex function differentiability. Formalized Mathematics, 17(2):67-72, 2009, doi:10.2478/v10037-009-0007-9.-
    dc.description.referencesBeata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.-
    dc.description.referencesJan Popiołek. Real normed space. Formalized Mathematics, 2(1):111-115, 1991.-
    dc.description.referencesYasunari Shidama. Banach space of bounded linear operators. Formalized Mathematics, 12(1):39-48, 2004.-
    dc.description.referencesWojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 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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