Advances in Complex Analysis and Applications

The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex...

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Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Fformat: Online
Iaith:Saesneg
Cyhoeddwyd: IntechOpen 2021
Pynciau:
Mynediad Ar-lein:ONIX_20210420_9781839683619_3097
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collection Directory of Open Access Books
description The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.
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publishDate 2021
publishDateRange 2021
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spelling doab-20.500.12854ir-677372024-04-04T14:41:18Z Advances in Complex Analysis and Applications Bulnes, Francisco Hachay, Olga Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research. 2021-04-20T16:24:09Z 2021-04-20T16:24:09Z 2020 book ONIX_20210420_9781839683619_3097 9781839683619 9781839683602 9781839683626 https://directory.doabooks.org/handle/20.500.12854/67737 eng image/jpeg n/a https://www.intechopen.com/books https://mts.intechopen.com/storage/books/8655/authors_book/authors_book.pdf IntechOpen IntechOpen 10.5772/intechopen.79799 10.5772/intechopen.79799 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9781839683619 9781839683602 9781839683626 IntechOpen 170 open access
spellingShingle Applied mathematics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
Advances in Complex Analysis and Applications
title Advances in Complex Analysis and Applications
title_full Advances in Complex Analysis and Applications
title_fullStr Advances in Complex Analysis and Applications
title_full_unstemmed Advances in Complex Analysis and Applications
title_short Advances in Complex Analysis and Applications
title_sort advances in complex analysis and applications
topic Applied mathematics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
topic_facet Applied mathematics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
url ONIX_20210420_9781839683619_3097