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Someone needs to fix the broken math equations Robinz16 (talk ) 11:22, 12 February 2014 (UTC) [ reply ]
any one know about Ramanujan's continued fraction , please expand further
When it says φ is the golden ratio isnt that 1 : 1.618 ; I think it means phi the one number? idk Joerite 03:37, 6 December 2006 (UTC) [ reply ]
I removed this from the article. As written, it is not explicitly naming Ramanujan.
===Other notable sequences===
Many fascinating mathematical identities are expressed by continued fractions. One such is this
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{\displaystyle u={x \over 1}+\,{x^{5} \over 1}+\,{x^{10} \over 1}+\,{x^{15} \over 1}+\dots }
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{\displaystyle v={x^{\frac {1}{5}} \over 1}+\,{x \over 1}+\,{x^{2} \over 1}+\,{x^{3} \over 1}+\dots }
then
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{\displaystyle v^{5}=u\,\left[{\frac {1-2u+4u^{2}-3u^{3}+u^{4}}{1+3u+4u^{2}-2u^{3}+u^{4}}}\right].}
![{\displaystyle v^{5}=u\,\left[{\frac {1-2u+4u^{2}-3u^{3}+u^{4}}{1+3u+4u^{2}-2u^{3}+u^{4}}}\right].}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4b8de8c5b8afa25792cf6a4c6062bd7ca1bd474b)