Re: [R] Off topic --- help in locating a source.

From: Ravi Varadhan <rvaradhan_at_jhmi.edu>
Date: Thu 18 May 2006 - 07:25:27 EST


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: rvaradhan@jhmi.edu

> -----Original Message-----
> From: r-help-bounces@stat.math.ethz.ch [mailto:r-help-
> bounces@stat.math.ethz.ch] On Behalf Of Rolf Turner
> Sent: Wednesday, May 17, 2006 3:27 PM
> To: r-help@stat.math.ethz.ch
> 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
> rolf@math.unb.ca
>
> ______________________________________________
> R-help@stat.math.ethz.ch mailing list
>
https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide! http://www.R-project.org/posting-
> guide.html


R-help@stat.math.ethz.ch mailing list
https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html Received on Thu May 18 07:45:31 2006

Archive maintained by Robert King, hosted by the discipline of statistics at the University of Newcastle, Australia.
Archive generated by hypermail 2.1.8, at Thu 18 May 2006 - 08:10:14 EST.

Mailing list information is available at https://stat.ethz.ch/mailman/listinfo/r-help. Please read the posting guide before posting to the list.