Integrals Related to the Error Function presents a table of integrals related to the error function, including indefinite and improper definite integrals. Most of the formulas in this book have not been presented in other tables of integrals or have been presented only for some special cases of parameters or for integration only along the real axis of the complex plane. Many of the integrals presented here cannot be obtained using a computer (except via an approximate numerical integration).
Additionally, for improper integrals, this book emphasizes the necessary and sufficient conditions for the validity of the presented formulas, including trajectory for going to infinity on the complex plane; such conditions are usually not given in computer-assisted analytical integration and often not presented in the previously published tables of integrals.
- The first book in English language to present a comprehensive collection of integrals related to the error function
- Useful for researchers whose work involves the error function (e.g., via probability integrals in communication theory). Additionally, it can also be used by broader audience.
Nikolai E. Korotkov received his BS/MS degree in 1959 from Kazan Aviation Institute and his PhD degree in Technical Sciences in 1971 from Voronezh Research Institute of Communications, Russia. He worked at Voronezh Research Institute of Communications from 1959 until retirement in 2010, holding various positions from Research Engineer to Leading Research Scientist and Head of Laboratory. His field of research includes Statistical Radioengineering and Communication Theory. He is author/coauthor of over 100 published research papers, 2 books, and 46 patents.
Alexander N. Korotkov received his MS degree (1986) and PhD degree (1991) in Physics from Lomonosov Moscow State University. After working at Moscow State University (1987-1993) and State University of New York at Stony Brook (1993-2000), he joined faculty of University of California, Riverside, where he is currently a Professor of Electrical Engineering. In 2019 he started work at Google Quantum AI lab. His research includes quantum computing, quantum measurements, and nanoelectronics. He is author/coauthor of 130 journal papers and 40 conference proceedings and book chapters
Introduction. Part 1. Indefinite integrals. Part 2. Definite integrals. Appendix: Some useful formulas for obtaining other integrals.