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Advances in Real and Complex Analysis with Applications

  • Michael Ruzhansky
  • Yeol Je Cho
  • Praveen Agarwal
  • Iván Area

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Krunal B. Kachhia, Praveen Agarwal, Jyotindra C. Prajapati
    Pages 1-32
  3. Tatsuhiro Honda
    Pages 49-70
  4. Y. Guemo Tefo, Iván Area, M. Foupouagnigni
    Pages 87-105
  5. Fethi Bin Muhammed Belgacem, Rathinavel Silambarasan, Hammouch Zakia, Toufik Mekkaoui
    Pages 107-120
  6. Kalyan Chakraborty, Azizul Hoque
    Pages 145-181
  7. Taekyun Kim, Dae San Kim, Gwan Woo Jang, Jongkyum Kwon
    Pages 243-260
  8. İ.O. Kıymaz, P. Agarwal, S. Jain, A. Çetinkaya
    Pages 261-275
  9. E. T. Karimov, S. Kerbal, N. Al-Salti
    Pages 289-301

About this book

Introduction

This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan’s mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian surfaces, Teichmüller spaces and Kleinian groups, engineering applications of complex analytic methods, nonlinear analysis, inequality theory, potential theory, partial differential equations, numerical analysis , fixed-point theory, variational inequality, equilibrium problems, optimization problems, stability of functional equations, and mathematical physics. 

It includes papers presented at the 24th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (24ICFIDCAA), held at the Anand International College of Engineering, Jaipur, 22–26 August 2016. The book is a valuable resource for researchers in real and complex analysis.

Keywords

Special Functions Fractional Calculus Real Analysis Complex Analysis Clifford Analysis Harmonic Analysis Applications of Complex Analysis Nonlinear Analysis Inequality Theory Potential Theory Partial Differential Equations

Editors and affiliations

  • Michael Ruzhansky
    • 1
  • Yeol Je Cho
    • 2
  • Praveen Agarwal
    • 3
  • Iván Area
    • 4
  1. 1.Department of MathematicsImperial College LondonLondonUnited Kingdom
  2. 2.Department of Mathematics Education and the RINSGyeonsang National UniversityJinjuKorea (Republic of)
  3. 3.Department of MathematicsAnand International College of EngineeringJaipurIndia
  4. 4.Departamento de Matemática Aplicada IIE.E. Aeronáutica e do Espazo, Universidade de VigoOurenseSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-4337-6
  • Copyright Information Springer Nature Singapore Pte Ltd. 2017
  • Publisher Name Birkhäuser, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-10-4336-9
  • Online ISBN 978-981-10-4337-6
  • Series Print ISSN 2297-0215
  • Series Online ISSN 2297-024X
  • Buy this book on publisher's site