sinc

The cardinal sine function.

Syntax

• sinc(x)

  • x is a real or complex number

Description

The cardinal sine function is defined by

sinc(z) = sin(z) / z

for non-zero z and sinc(0) ≝ 1 to address the removable singularity at the origin, making sinc a continuous function on ℝ and an entire function on ℂ.

Examples

sinc(0)

1

sinc(π/2)

0.636619772368	(=2⋅π⁻¹)

sinc(π)

0

sinc(i)

1.17520119364

See also

• sin