Integrals related to the error function /
Korotkov, N. E.
Integrals related to the error function / Nikolai E. Korotkov, Alexander N. Korotkov. - 1st. - 1 online resource
Introduction. Part 1. Indefinite integrals. Part 2. Definite integrals. Appendix: Some useful formulas for obtaining other integrals.
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. Features 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.
9781000033090 1000033090 9781000033076 1000033074 9781000033083 1000033082 9780367809232 0367809230
10.1201/9780367809232 doi
Error functions.
Probabilities.
MATHEMATICS / Probability & Statistics / General
QA55
519.2
Integrals related to the error function / Nikolai E. Korotkov, Alexander N. Korotkov. - 1st. - 1 online resource
Introduction. Part 1. Indefinite integrals. Part 2. Definite integrals. Appendix: Some useful formulas for obtaining other integrals.
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. Features 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.
9781000033090 1000033090 9781000033076 1000033074 9781000033083 1000033082 9780367809232 0367809230
10.1201/9780367809232 doi
Error functions.
Probabilities.
MATHEMATICS / Probability & Statistics / General
QA55
519.2