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Advances in Real and Complex Analysis with Applications

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概要 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 wi...th 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.続きを見る
目次 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.
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登録日 2018.02.07
更新日 2018.04.11