Re: Probably haven't seen this one, but...

junoexpress <MTBrenneman@xxxxxxxxx> wrote:
Hi,

I'm doing some work with a function that is the ratios of (normalized)
sinc functions, having the form:
f:x-> Sinc(Mx)/Sinc(x) for M a natural number and |x| < 1

I'm having to work out some properties of this function, which are not
that bad, but in the process, I keep wondering if this ratio has been
analyzed before (in other words, I hate to present a lot of detailed
derivations only to have someone else say, "Oh yeah, that's just the
Gluckenheimer function" and if it has been looked at before, maybe I
could get some deeper insight into the solution also.)

So I come to the gurus. Is this a function which anyone has seen
analyzed before?

If I had to look somewhere, hoping to find something pertinent, it would be
in Whittaker's writings about cardinal functions. But I have no idea if
that search would be fruitful. It might be easier just to go ahead and do
the analysis yourself.

What, in particular, are you interested in knowing about the function?

David
.

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