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

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? To my knowledge, it is not in Abrahamowitz and
Stegan, and the closest I can come to pinning it on anything known is
to say that it's the ratio of 2 spherical Bessel functions (which
doesn't seem like a function that's probably been analyzed).

TIA,

Matt B.

.

Relevant Pages

  • Re: Probably havent seen this one, but...
    ... Robert Israel wrote: ... sinc functions, having the form: ... that bad, but in the process, I keep wondering if this ratio has been ... could get some deeper insight into the solution also.) ...
    (sci.math)
  • Re: Probably havent seen this one, but...
    ... junoexpress writes: ... sinc functions, having the form: ... that bad, but in the process, I keep wondering if this ratio has been ... So I come to the gurus. ...
    (sci.math)