Open access peer-reviewed Edited Volume

Advances in Complex Analysis and Applications

Edited by Francisco Bulnes

Investigación Internacional Avanzada en Matemáticas e Ingeniería (IINAMEI), Mexico

Co-editor:

Olga Hachay

Ural Branch of the Russian Academy of Sciences

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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Advances in Complex Analysis and ApplicationsEdited by Francisco Bulnes

Published: November 4th 2020

DOI: 10.5772/intechopen.79799

ISBN: 978-1-83968-361-9

Print ISBN: 978-1-83968-360-2

eBook (PDF) ISBN: 978-1-83968-362-6

Copyright year: 2020

Books open for chapter submissions

3712 Total Chapter Downloads

2 Crossref Citations

2 Dimensions Citations

chaptersDownloads

Open access peer-reviewed

1. Introductory Chapter: Frontiers and Future Developments of the Complex Analysis

By Francisco Bulnes

394

Open access peer-reviewed

2. Interference Pattern Representation on the Complex s-Plane

By José Trinidad Guillen Bonilla, Alex Guillen Bonilla, Mario Alberto García Ramírez, Gustavo Adolfo Vega Gómez, Héctor Guillen Bonilla, María Susana Ruiz Palacio, Martín Javier Martínez Silva and Verónica María Bettancourt Rodriguez

573

Open access peer-reviewed

3. Inverse Scattering Source Problems

By Mozhgan “Nora” Entekhabi

258

Open access peer-reviewed

4. Solution Methods of Large Complex-Valued Nonlinear System of Equations

By Robson Pires

371

Open access peer-reviewed

5. Variable Exponent Spaces of Analytic Functions

By Gerardo A. Chacón and Gerardo R. Chacón

471

Open access peer-reviewed

6. Integral Geometry and Cohomology in Field Theory on the Space-Time as Complex Riemannian Manifold

By Francisco Bulnes

436

Open access peer-reviewed

7. Extracting Coherent Structures in Near-Wall Turbulence Based on Wavelet Analysis

By Peng Du, Haibao Hu and Xiao Huang

392

Open access peer-reviewed

8. An Efficient Approach Based on the Near-Field Technique to Solve EMI Problems: Application to an AC/DC Flyback Converter

By Bessem Zitouna and Jaleleddine Ben Hadj Slama

346

Open access peer-reviewed

9. Mathematical Fundamentals of a Diagnostic Method by Long Nonlinear Waves for the Structured Media

By Vyacheslav Vakhnenko, Dmitri Vengrovich and Alexandre Michtchenko

472

Edited Volume and chapters are indexed in

  • Worldcat
  • OpenAIRE
  • Google Scholar
  • AZ ebsco
  • Base
  • CNKI

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