The jinc function is defined for 
as
 |
(1)
|
where 
is a Bessel function of the first kind,
and is extended continuously by 
. The derivative of
the jinc function is given by
 |
(2)
|
for 
, with 
. The function is sometimes normalized by multiplying
by a factor of 2 so that 
(Siegman 1986, p. 729).
The first positive inflection point of the function
is the smallest positive solution of
 |
(3)
|
namely 2.29991033... (OEIS A133920).
The unique real fixed point occurs at 0.48541702373...
(OEIS A133921).
See also
Bessel Function of
the First Kind,
Sinc Function
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References
Bracewell, R. The Fourier Transform and Its Applications, 3rd ed. New York: McGraw-Hill, p. 64,
1999.Siegman, A. E. Lasers.
Sausalito, CA: University Science Books, 1986.Sloane, N. J. A.
Sequences A133920 and A133921
in "The On-Line Encyclopedia of Integer Sequences."Referenced
on Wolfram|Alpha
Jinc Function
Cite this as:
Weisstein, Eric W. "Jinc Function." From
MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/JincFunction.html
Subject classifications
