• Basic Theory.- Basics.- Continued fraction representation of functions.- Convergence criteria.- Padé approximants.- Moment theory and orthogonal functions.- Numerics.- Continued fraction construction.- Truncation error bounds.- Continued fraction evaluation.- Special Functions.- On tables and graphs.- Mathematical constants.- Elementary functions.- Gamma function and related functions.- Error function and related integrals.- Exponential integrals and related functions.- Hypergeometric functions.- Confluent hypergeometric functions.- Bessel functions.- Probability functions.- Basic hypergeometric functions.

From the reviews: "The book under review is to collect continued fractions for special functions in a friendly volume. ... There is no doubt that this book is very useful for the people who need to work with special functions. ... The book is suitable for researchers in many fields, so that libraries serving scholars in basic sciences need to have it." (Mehdi Hassani, The Mathematical Association of America, September, 2008) "The computation of a special function by its development into a continued fraction requires many steps, and that it needs a deep knowledge of theory and practice. The purpose of this handbook is to present the efforts in this direction made by a group of scientists from different universities who have collaborated in the project for many years. ... I highly recommend this monograph, a masterpiece, to all those who are interested in continued fractions. It should be on the shelves of every library." (Claude Brezinski, Journal of Approximation Theory, February, 2010)