Integrals of Bessel Functions (Dover Books on Mathematics)

Book Details:

• Publisher: Dover

• Author: Yudell L. Luke

• Language: English

• Edition: Reprint

• ISBN: 9780486789699

• Pages: 432

• Cover: Paperback

About the Book:

Integrals of Bessel Functions by Yudell L. Luke is a comprehensive reference work focused on the evaluation of definite and indefinite integrals of Bessel functions, which are crucial in solving a wide range of applied problems in various fields of science and engineering. This extensive volume is an invaluable resource for applied mathematicians, engineers, and researchers, providing a wealth of information for solving complex integrals encountered in academia and industry.

The book begins with an in-depth introductory chapter covering basic formulas, offering readers a foundation in the principles of Bessel functions. It progresses to explore indefinite integrals, specifically examining them in terms of Lommel and Bessel functions. Further chapters cover a variety of topics, including Airy functions, incomplete gamma functions, repeated integrals of Bessel functions, and integrals involving Struve functions. Luke also discusses Schwarz functions, their generalizations, and numerous other miscellaneous integrals involving Bessel functions.

In addition to the theoretical content, the book includes a dozen useful tables that help in the practical evaluation of integrals. Whether you are an advanced undergraduate, graduate student, or a professional mathematician, this work serves as both a thorough reference and a useful text for mastering the complexities of Bessel function integrals. It is an essential resource for anyone working with mathematical functions in applied sciences.