%0 Generic %1 citeulike:3036277 %A Euler, Leonhard %D 2005 %K Vor1850 available-in-tex-format mathematics number-theory pre1850 %T A commentary on the continued fraction by which the illustrious La Grange has expressed the binomial powers %U http://arxiv.org/abs/math/0507459 %X Euler gives a continued fraction representation of (1+x)^n involving 1,3,5,7,... and n^2-1,n^2-4,n^3-9,... and squares of z, for x=2y and y=z/(1-z). He evaluates this continued fraction at z=t sqrt(-1), for ``vanishing'' n, and for infinite n.

@misc{citeulike:3036277, abstract = {Euler gives a continued fraction representation of (1+x)^n involving 1,3,5,7,... and n^2-1,n^2-4,n^3-9,... and squares of z, for x=2y and y=z/(1-z). He evaluates this continued fraction at z=t sqrt(-1), for ``vanishing'' n, and for infinite n.}, added-at = {2009-08-02T17:14:35.000+0200}, archiveprefix = {arXiv}, author = {Euler, Leonhard}, biburl = {https://www.bibsonomy.org/bibtex/2245152d3746b83d8e93c6b1ca06a036f/rwst}, citeulike-article-id = {3036277}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0507459}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0507459}, description = {my bookmarks from citeulike}, eprint = {math/0507459}, interhash = {468f147473b77ce2d541a545b6c6812e}, intrahash = {245152d3746b83d8e93c6b1ca06a036f}, keywords = {Vor1850 available-in-tex-format mathematics number-theory pre1850}, month = Jul, posted-at = {2008-07-23 08:46:37}, priority = {2}, timestamp = {2009-08-06T10:21:16.000+0200}, title = {A commentary on the continued fraction by which the illustrious La Grange has expressed the binomial powers}, url = {http://arxiv.org/abs/math/0507459}, year = 2005 }