Advances in Real and Complex Analysis with Applications / edited by Michael Ruzhansky, Yeol Je Cho, Praveen Agarwal, Iván Area.

Format:

Book

Contributor:

Ruzhansky, M. (Michael), Editor.

Cho, Yeol Je, Editor.

Agarwal, Praveen, Editor.

Area, Iván, Editor.

Series:

Trends in Mathematics, 2297-024X

Language:

English

Subjects (All):

Mathematical analysis.

Analysis.

Local Subjects:

Analysis.

Physical Description:

1 online resource (VIII, 301 p. 15 illus.)

Edition:

1st ed. 2017.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Birkhäuser, 2017.

Summary:

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 atthe 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.

Contents:

Chapter 1. Multiple Gamma Functions and Multiple Hurwitz Zeta Functions

Chapter 2. Recent Topics on Fixed Point Theory and its Applications

Chapter 3. Quantizations with and without symmetries

Chapter 4. Some systems of multivariate orthogonal polynomials

Chapter 5. Inverse Source problems for Partial Differential Equations involving Fractional Derivatives

Chapter 6. On Hermite-Fejer Interpolation of Functions of Bounded Variation

Chapter 7. Step Forward in Fractional Calculus: Theory, Methods and Applications

Chapter 8. Recent Results on Fractional Order Chaotic Systems

Chapter 9. Quadratic reciprocity and Riemann's non-differentiable function

Chapter 10. Integrability theorem for Weyl Algebra and its relation with the Heisenberg Uncertainty Principle

Chapter 11. Beta Functions Of First And Double Summation Formulae

Chapter 12. Non-Linear Differential Polynomials Sharing Small Function With Finite Weight

Chapter 13. On the Inverse of Pesudi-Differential Operators on S1

Chapter 14. Certain Image Formulas Of Generalized K-Bessel Function

Chapter 15. Polar Coordinate Form of Bicomplex Number System In Clifford Analysis

Chapter 16. Existence Theorems Of Generalized Quasi-Variational-Like Inequalities For Upper Hemi-Continuous And Pseudo-Monotone Type Ii Operators On Non-Compact Sets

Chapter 17. Certain Class Of Meromorphically Multivalent Functions Defined By A Differential Operator

Chapter 18. An Extension Of The Shannon Wavelet For Numerical Solution Of Integro-Differential Equations

Chapter 19. A Problem with Two Nonlocal Boundary Conditions for a Mixed Type Equation with Singular Coefficient

Chapter 20. The Univalently Solvability Of One Nonlocal Boundary Value Problem With Variable Coeffcients For The Mixed Type Equation Of The Second Kind Of The Second Order In A Rectangle

Chapter 21. A Study of Generalized Fractional Differentiation for Saigo Operators Involving a Multivariable Polynomial, H-Function and the Aleph Function

Chapter 22. Graphical and Database Analysis of Generalized K-Mittag-Leer Function with MATLAB Implementation.

Notes:

Includes bibliographical references at the end of each chapters.

ISBN:

981-10-4337-X