I would check one of the following: 1. Abramowitz and Stegun's HMF 2. Jolley's "Summation of Series" 3. Knopp's book on Infinite Series.
Ravi. -------------------------------------------------------------------------- Ravi Varadhan, Ph.D. Assistant Professor, The Center on Aging and Health Division of Geriatric Medicine and Gerontology Johns Hopkins University Ph: (410) 502-2619 Fax: (410) 614-9625 Email: [EMAIL PROTECTED] -------------------------------------------------------------------------- > -----Original Message----- > From: [EMAIL PROTECTED] [mailto:r-help- > [EMAIL PROTECTED] On Behalf Of Rolf Turner > Sent: Wednesday, May 17, 2006 3:27 PM > To: [email protected] > Subject: [R] Off topic --- help in locating a source. > > Apologies for the off-topic question; as usual I'm trying to draw > upon the unparalleled knowledge and sagacity of the r-help list. > Please reply off-list if you can help me out. > > A collaborator of mine found a formula we need, on sheets which he had > photocopied out of a book, some years ago. He cannot remember which > book (he's getting to be as senile and forgetful as I am, poor > bloke!). He thinks it was (and it appears to have been) a large > encylopedic tome devoted to extensive tables of formulae, integrals > and series, and stuff like that. > > The formula in question is > > oo 1 1 1 > SUM --- cos(k*x) = --- ln (----------------) 0 < x < 2*pi . > k=1 k 2 2*(1 - cos(x)) > > (I.e. the right hand side is a function whose Fourier coefficients > are 1/k, k > 0). > > Note that ``oo'' is my attempt to render the infinity symbol in > ASCII. > > Does anyone know of a source where this formula may found/cited? > (It doesn't *have* to be the same source from which my collaborator > originally copied it!) It must be well-known/in lots of books, > mustn't it? Said he, hopefully. > > Thanks for any assistance. > > cheers, > > Rolf Turner > [EMAIL PROTECTED] > > ______________________________________________ > [email protected] mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide! http://www.R-project.org/posting- > guide.html ______________________________________________ [email protected] mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html
