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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 36.3.21
(See
in context
.)
(a) Contour plot.
(b) Density plot.
Figure 36.3.21:
Phase of hyperbolic umbilic canonical integral
ph
Ψ
(
H
)
(
x
,
y
,
3
)
.
ⓘ
Annotations:
Symbols:
Ψ
(
H
)
(
𝐱
)
: hyperbolic umbilic canonical integral function
,
ph
: phase
,
y
: real parameter
and
x
: real parameter
Keywords:
hyperbolic umbilic canonical integral
,
pictures of phase
Permalink:
http://dlmf.nist.gov/36.3.F21.mag
Encodings:
Magnified png
,
Magnified png
,
pdf
,
pdf
Errata (effective with 1.0.14):
Scales were corrected. The interval
−
8.4
≤
x
−
y
2
≤
8.4
was replaced by
−
12.0
≤
x
−
y
2
≤
12.0
and
−
12.7
≤
x
+
y
2
≤
4.2
replaced by
−
18.0
≤
x
+
y
2
≤
6.0
.
See also:
Annotations for
§36.3
and
Ch.36