The series de Gruyter Studies in Mathematics was founded in 1982 by the late Professor Heinz Bauer and Professor Peter Gabriel.
The series publishes monographs and textbooks in mathematics and its applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.
Each volume undergoes peer review using a double-blind reviewing process
This book presents developments and new results on complex differential-difference equations, an area with important and interesting applications, which also gathers increasing attention. Key problems, methods, and results related to complex differential-difference equations are collected to offer an up-to-date overview of the field.
Preface
Content
Chapter 1: Introduction to Nevanlinna theory and its difference version
1.1: Nevanlinna theory
1.2 Difference analogue of Nevanlinna theory
Chapter 2: Value distribution of complex differential-difference polynomials
2.1 Differential-difference versions of standard classical results
2.2 Uniqueness theory for complex D-D polynomials
Chapter 3: Local theory of complex differential-difference equations
3.1 Power series solutions
3.2 Fixed points
Chapter 4; Linear complex differential-difference equations
4.1 Operator theory
4.2 Infinite order differential equations
4.3 First order D-D equations
4.4 Higher order D-D equations
Chapter 5: Nonlinear complex differential-difference equations
5.1 Fermat type D-D equations
5.2 Riccati type D-D equations
5.3 Malmquist type D-D equations
5.4 Other non-linear D-D equations
Chapter 6: Complex q-difference differential equations
Chapter 7: Systems of complex differential-difference equations
Chapter 8: Applications
Bibliography
Kai Liu, Nanchang University, China;
Ilpo Laine, University of Eastern Finland, Finland;
Lianzhong Yang, Shandong University, China.
