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

Ravi Varadhan
Wed, 17 May 2006 21:25:27 -0000

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 at jhmi.edu
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> -----Original Message-----
> From: r-help-bounces at stat.math.ethz.ch [mailto:r-help-
> bounces at stat.math.ethz.ch] On Behalf Of Rolf Turner
> Sent: Wednesday, May 17, 2006 3:27 PM
> To: r-help at 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 at math.unb.ca
>
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