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 ...

Introduces methods of complex variables, contour integration, and theory of residues. Applications include solving partial differential equations by transform methods, Fourier and Laplace transforms, ...

We give a logarithmic derivative lemma in several complex variables and its applications to meromorphic solutions of partial differential equations. Journal Information This monthly journal, published ...