Focusing on Nevanlinna theory, the book explores its complex connections with normal families, algebraic functions, asymptotic series, and algebraic differential equations. It serves as a contemporary guide, providing insights into these mathematical concepts and their interrelations, making it a valuable resource for those interested in advanced mathematical theories.
The series focuses on publishing monographs and advanced textbooks in mathematics and its applications, aiming to make interdisciplinary topics accessible to non-specialists. Targeted at advanced students and researchers in mathematics and theoretical physics, it also serves as a resource for graduate-level lectures and seminars. Established approximately 35 years ago by Professors Heinz Bauer and Peter Gabriel, the series aims to produce high-standard works by internationally recognized scholars, showcasing current research in both pure and applied mathematics. Despite changes in the editorial board over the years, the series' commitment to quality remains steadfast. In an era of rapid mathematical development, well-crafted monographs and textbooks by experts are crucial for guiding the next generation of mathematicians. The editorial board and publisher are dedicated to continuing this initiative as a service to the mathematical community. Book proposals can be submitted to Niels Jacob. Upcoming titles include works on topics such as measure theory, time-frequency analysis, stochastic models for fractional calculus, ergodic theory, holomorphic dynamics, differential geometry of submanifolds, complex differential-difference equations, and affine space fibrations.