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7
Error Functions, Dawson’s and Fresnel Integrals
Properties
7.3
Graphics
7.3
Graphics
7.4
Symmetry
Figure 7.3.4
(See
in context
.)
Figure 7.3.4:
|
ℱ
(
x
)
|
2
,
−
8
≤
x
≤
8
.
Fresnel (
1818
)
introduced the integral
ℱ
(
x
)
in his study of the interference pattern at the edge of a shadow. He observed that the intensity distribution is given by
|
ℱ
(
x
)
|
2
.
ⓘ
Annotations:
Symbols:
ℱ
(
z
)
: Fresnel integral
and
x
: real variable
Keywords:
Fresnel integrals
,
applications
,
interference patterns
Permalink:
http://dlmf.nist.gov/7.3.F4.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§7.3
and
Ch.7