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International Journal of Advanced Research in Mathematics最新文献

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Asymptotic Behaviors of Wronskians and Finite Asymptotic Expansionsin the Real Domain - Part II: Mixed Scales and Exceptional Cases 实域上wronskans的渐近行为和有限渐近展开式——第二部分:混合尺度和例外情况
International Journal of Advanced Research in Mathematics Pub Date : 2018-09-01 DOI: 10.18052/WWW.SCIPRESS.COM/IJARM.12.35
A. Granata
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引用次数: 1
Quaternionic G-Monogenic Mappings in Em Em中的四元数g -单基因映射
International Journal of Advanced Research in Mathematics Pub Date : 2018-09-01 DOI: 10.18052/WWW.SCIPRESS.COM/IJARM.12.1
V. Shpakivskyi, T. Kuzmenko
{"title":"Quaternionic G-Monogenic Mappings in Em","authors":"V. Shpakivskyi, T. Kuzmenko","doi":"10.18052/WWW.SCIPRESS.COM/IJARM.12.1","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/IJARM.12.1","url":null,"abstract":"We consider a class of so-called quaternionic G-monogenic mappings associatedwith m-dimensional (m 2 f2; 3; 4g) partial differential equations and propose a description of allmappings from this class by using four analytic functions of complex variable. For G-monogenicmappings we generalize some analogues of classical integral theorems of the holomorphic functiontheory of the complex variable (the surface and the curvilinear Cauchy integral theorems,the Cauchy integral formula, the Morera theorem), and Taylor’s and Laurent’s expansions.Moreover, we investigated the relation between G-monogenic and H-monogenic (differentiablein the sense of Hausdorff) quaternionic mappings.","PeriodicalId":230781,"journal":{"name":"International Journal of Advanced Research in Mathematics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127074205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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