Memoirs of the American Mathematical Society 1992; 71 pp; softcover Volume: 99 ISBN10: 0821825380 ISBN13: 9780821825389 List Price: US$26 Individual Members: US$15.60 Institutional Members: US$20.80 Order Code: MEMO/99/477
 Among his thirtythree published papers, Ramanujan had only one continued fraction, the RogersRamanujan continued fraction. However, his notebooks contain over 100 results on continued fractions. At the end of his second notebook are 100 pages of unorganized material, and the third notebook comprises thirtythree pages of disorganized results. In these 133 pages of material are approximately sixty theorems on continued fractions, most of them new results. In this monograph, the authors discuss and prove each of these theorems. Aimed at those interested in Ramanujan and his work, this monograph will be of special interest to those who work in continued fractions, \(q\)series, special functions, thetafunctions, and combinatorics. The work is likely to be of interest to those in number theory as well. The only required background is some knowledge of continued fractions and a course in complex analysis. Readership Researchers in continued fractions, \(q\)series, special functions, thetafunctions, combinatorics, and those interested in number theory as well. Reviews "Both the expert and nonexpert will profit from studying [the books] contents and will be sure to become Ramanujan fans. It is recommended reading for anyone interested in special functions or approximations and expansions."  Journal of Approximation Theory Table of Contents  Abstract
 Proofs of Entries 160
