The Continued Fractions Found In The Unorganized Portions Of Ramanujan's Notebooks
American Mathematical Society (Publisher)
Published on 1. January 1992
Book
Paperback/Softback
71 pages
978-0-8218-2538-9 (ISBN)
Description
Among his thirty-three published papers, Ramanujan had only one continued fraction, the Rogers-Ramanujan 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 thirty-three 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 function, theta-functions, 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.
Detailed study of Ramanujan's own notebooks
This monograph will be of special interest to those interested in Ramanujan and his work, and also for those whose work is concerned with continued fractions, q-series, special function, theta functions, and combinatorics. This book covers all Ramanujan's unpublished work scattered amonst unorganized notebooks and containing previously undiscovered results.
Detailed study of Ramanujan's own notebooks
This monograph will be of special interest to those interested in Ramanujan and his work, and also for those whose work is concerned with continued fractions, q-series, special function, theta functions, and combinatorics. This book covers all Ramanujan's unpublished work scattered amonst unorganized notebooks and containing previously undiscovered results.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 285 mm
Width: 180 mm
ISBN-13
978-0-8218-2538-9 (9780821825389)
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Schweitzer Classification