Aims and scope

Journal of Complex Variables and Applications is devoted to the publication of high-quality original research in the theory of complex variables and its wide-ranging applications. The journal aims to serve as an international forum for the dissemination of significant advances in complex analysis, both in its classical and modern forms, as well as in closely related areas of mathematics and applied sciences.

The scope of the journal covers, but is not limited to, geometric function theory, univalent and multivalent functions, special classes of analytic and meromorphic functions, coefficient problems, subordination theory, and conformal and quasi-conformal mappings. Particular emphasis is placed on problems arising in complex variables that interact with differential equations, including elliptic and parabolic equations and systems, potential theory, and boundary value problems.

The journal also welcomes contributions that employ function-theoretic, functional-analytic, topological, variational, and spectral methods in the study of complex variables. Applications of complex analysis to operator theory, harmonic analysis, probability theory, stochastic processes, mathematical physics, quantum calculus, and related interdisciplinary fields are strongly encouraged. Research involving several complex variables, complex dynamics, analysis on Lie groups, homogeneous spaces, CR-manifolds, and other geometric structures falls within the journal’s purview.

In addition, Complex Variables and Applications seeks to promote emerging and rapidly developing areas where complex analysis plays a central role, fostering cross-fertilization between pure theory and applications. Survey articles of high scholarly standard and current interest may also be considered. All submissions are expected to be written in clear, precise English and to present mathematically rigorous results that contribute meaningfully to the advancement of complex analysis and its applications.