Because of the numerous applications involved in this field, the theory of special functions is under permanent development, especially regarding the requirements for modern computer algebra methods. The Handbook of Special Functions provides in-depth coverage of special functions, which are used to help solve many of the most difficult problems in physics, engineering, and mathematics. The book presents new results along with well-known formulas used in many of the most important mathematical methods in order to solve a wide variety of problems. It also discusses formulas of connection and conversion for elementary and special functions, such as hypergeometric and Meijer G functions.
Table of Contents
The Derivatives. Limits. Indefinite Integrals. Definite Integrals. Infinite Series. The Connection Formulas. Representations of Hypergeometric Functions and the Meijer G Function.
"The present book fits more in the line of the classics mentioned before. … a big collection of formulas of derivatives, sums, and integrals. Many of them are new. … should complete existing books of this type in any mathematics library."
—Bulletin of the Belgian Mathematical Society, Volume 18, 2011
"The typography is neat and clear, and in general handling this book is pleasant, despite its size. It will definitely be a useful reference for researchers working for instance in approximation theory, mathematical physics, and computer algebra, to mention a few."
—Journal of Approximation Theory, 2010