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36
Integrals with Coalescing Saddles
Properties
36.3
Visualizations of Canonical Integrals
36.3
Visualizations of Canonical Integrals
36.4
Bifurcation Sets
Figure 36.3.14
(See
in context
.)
(a)
ph
Ψ
3
(
x
,
y
,
3
)
.
(b)
ph
Ψ
3
(
x
,
y
,
0
)
.
(c)
ph
Ψ
3
(
x
,
y
,
−
3
)
.
(d)
ph
Ψ
3
(
x
,
y
,
−
7.5
)
.
Figure 36.3.14:
Density plots of phase of swallowtail canonical integrals.
ⓘ
Annotations:
Symbols:
Ψ
K
(
𝐱
)
: canonical integral function
,
ph
: phase
,
y
: real parameter
and
x
: real parameter
Keywords:
pictures of phase
,
swallowtail canonical integral
Permalink:
http://dlmf.nist.gov/36.3.F14.mag
Encodings:
Magnified png
,
Magnified png
,
Magnified png
,
Magnified png
,
pdf
,
pdf
,
pdf
,
pdf
See also:
Annotations for
§36.3
and
Ch.36