Customer Reviews

Basic Hypergeometric Series (Encyclopedia of Mathematics and its Applications)

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A solid reference on the subject. Material on generalized hypergeometric functions (starting with Gauss' hypergeometric function) is presented followed by the q analogy's. The material is advanced and is well written with a tight and readable typeface. The introduction to q series will satisfy the beginner. The list of about 500 references covering the entire subject is worth the price alone.

Lorenz H. Menke, Jr.

If you are looking for q-hypergeometric series this is THE book. On the publisher's website they give you a sneak-peek of the first chapter which is already wonderfully useful. But remember that in the book there are also many exercises. If you think there's a formula relating to the q-binomial theorem, say, then check there. It's also great that they answer questions about partitions into sums of squares, as well as mentioning applications to statistical mechanics and just partition function identities (like Rogers-Ramanujan). Maybe they could play-up the applications to representations of quantum groups such as Uq(sl2) if there are some. But on the whole this book is wonderful, and wonderfully complete.