- Mathematical function, suitable for both symbolic and numerical manipulation.
- The argument of Sinc is assumed to be in radians. (Multiply by Degree to convert from degrees.)
- Sinc[z] is equivalent to Sin[z]/z for , but is 1 for .
- For certain special arguments, Sinc automatically evaluates to exact values.
- Sinc can be evaluated to arbitrary numerical precision.
- Sinc automatically threads over lists.
Examplesopen allclose all
Basic Examples (4)
Find the Fourier transform of Sinc:
Numerical Evaluation (6)
Specific Values (4)
Plot the Sinc function:
Function Properties (10)
Sinc is defined for all real and complex values:
Approximate real range of Sinc:
Sinc is an even function:
Sinc is an analytic function of x:
Sinc is monotonic in a specific range:
Sinc is not injective:
Sinc is neither non-negative nor non-positive:
Sinc has no singularities or discontinuities:
Sinc is neither convex nor concave:
Series Expansions (4)
Integral Transforms (3)
Function Identities and Simplifications (4)
Properties & Relations (2)
Possible Issues (1)
Non‐trivial minima and maxima of Sinc do not have ordinary closed forms:
Wolfram Research (2007), Sinc, Wolfram Language function, https://reference.wolfram.com/language/ref/Sinc.html.
Wolfram Language. 2007. "Sinc." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Sinc.html.
Wolfram Language. (2007). Sinc. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Sinc.html