%0 Generic %1 citeulike:3036263 %A Euler, Leonhard %D 2007 %K Vor1800 available-in-tex-format combinatorics mathematics pre1800 %T A succinct method for investigating the sums of infinite series through differential formulae %U http://arxiv.org/abs/0705.0768 %X Translation of "Methodus succincta summas serierum infinitarum per formulas differentiales investigandi" (1780). Euler wants to represent some given series of functions S(x)=X(x)+X(x+1)+X(x+2)+etc. in a different way. He writes S as a series in derivatives of X with unknown coefficients. He makes a generating function V(z) out of these coefficients, which is the same as a generating function that involves the Bernoulli numbers.

@misc{citeulike:3036263, abstract = {Translation of "Methodus succincta summas serierum infinitarum per formulas differentiales investigandi" (1780). Euler wants to represent some given series of functions S(x)=X(x)+X(x+1)+X(x+2)+etc. in a different way. He writes S as a series in derivatives of X with unknown coefficients. He makes a generating function V(z) out of these coefficients, which is the same as a generating function that involves the Bernoulli numbers.}, added-at = {2009-08-02T17:14:35.000+0200}, archiveprefix = {arXiv}, author = {Euler, Leonhard}, biburl = {https://www.bibsonomy.org/bibtex/232f1c7057f4e84815a6bb876990a0bcf/rwst}, citeulike-article-id = {3036263}, citeulike-linkout-0 = {http://arxiv.org/abs/0705.0768}, citeulike-linkout-1 = {http://arxiv.org/pdf/0705.0768}, description = {my bookmarks from citeulike}, eprint = {0705.0768}, interhash = {0585c92f71691a24b27b032fda9553df}, intrahash = {32f1c7057f4e84815a6bb876990a0bcf}, keywords = {Vor1800 available-in-tex-format combinatorics mathematics pre1800}, month = May, posted-at = {2008-07-23 08:41:59}, priority = {2}, timestamp = {2009-08-18T18:29:35.000+0200}, title = {A succinct method for investigating the sums of infinite series through differential formulae}, url = {http://arxiv.org/abs/0705.0768}, year = 2007 }