An introduction to Ramanujan’s continued fractions
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Abstract
Continued fraction is a method of writing a fraction in a different way. The Rogers-Ramanujan continued fraction is defined as
R(q)= ____q1/5_____________ ,|q| less than1
1+ ____q_________
1+ ____q2________
1+ ____q3___
1+…….
In his first two letters of G.H.Hardy, and his note book, Ramanujan recorded many theorems about the Rogers-Ramanujan continued fractions. In the year 2000, Bruce C. Provided proof for many of claims about the Roger-Ramanujan and generalized Rogers-Ramanujan continued fractions . found in the lost note book. These fractions are also related to Jigsaw Puzzle problems of dividing a rectangle into squares. Present paper is a conclusive study of Rogers-Ramanujan continued fractions.
R(q)= ____q1/5_____________ ,|q| less than1
1+ ____q_________
1+ ____q2________
1+ ____q3___
1+…….
In his first two letters of G.H.Hardy, and his note book, Ramanujan recorded many theorems about the Rogers-Ramanujan continued fractions. In the year 2000, Bruce C. Provided proof for many of claims about the Roger-Ramanujan and generalized Rogers-Ramanujan continued fractions . found in the lost note book. These fractions are also related to Jigsaw Puzzle problems of dividing a rectangle into squares. Present paper is a conclusive study of Rogers-Ramanujan continued fractions.
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How to Cite
1.
Jain R. An introduction to Ramanujan’s continued fractions. ANSDN [Internet]. 24Dec.2015 [cited 4Aug.2025];3(01):77-2. Available from: https://anushandhan.in/index.php/ANSDHN/article/view/1056
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Review Article