Advances in Real and Complex Analysis with Applications [Hardcover]

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, Ramanujans 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, Teichm?ller 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, 2226 August 2016. The book is a valuable resource for researchers in real and complex analysis.

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 Riemannl³°