Reviews basic ideas of complex analysis, including solutions of ODEs and PDEs of physical interest via complex analysis; conformal mapping, including Schwarz-Christoffel transformations and ...

Complex analysis in Banach spaces constitutes a robust framework in which classical methods of complex function theory are generalised to infinite dimensions. This field explores holomorphic functions ...

Professor Ablowitz’s work centers around nonlinear waves, integrable systems, and physical applied mathematics — e.g., nonlinear optics and water waves and applications of complex analysis. Professor ...