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10
Bessel Functions
Kelvin Functions
10.61
Definitions and Basic Properties
10.63
Recurrence Relations and Derivatives
§10.62
Graphs
ⓘ
Keywords:
Kelvin functions
,
graphs
Notes:
These graphs were produced at NIST.
Permalink:
http://dlmf.nist.gov/10.62
See also:
Annotations for
Ch.10
For the modulus functions
M
(
x
)
and
N
(
x
)
see §
10.68(i)
with
ν
=
0
.
Figure 10.62.1:
ber
x
,
bei
x
,
ber
′
x
,
bei
′
x
,
0
≤
x
≤
8
.
Magnify
ⓘ
Symbols:
bei
ν
(
x
)
: Kelvin function
,
ber
ν
(
x
)
: Kelvin function
and
x
: real variable
Permalink:
http://dlmf.nist.gov/10.62.F1
Encodings:
pdf
,
png
See also:
Annotations for
§10.62
and
Ch.10
Figure 10.62.2:
ker
x
,
kei
x
,
ker
′
x
,
kei
′
x
,
0
≤
x
≤
8
.
Magnify
ⓘ
Symbols:
kei
ν
(
x
)
: Kelvin function
,
ker
ν
(
x
)
: Kelvin function
and
x
: real variable
Permalink:
http://dlmf.nist.gov/10.62.F2
Encodings:
pdf
,
png
See also:
Annotations for
§10.62
and
Ch.10
Figure 10.62.3:
e
−
x
/
2
ber
x
,
e
−
x
/
2
bei
x
,
e
−
x
/
2
M
(
x
)
,
0
≤
x
≤
8
.
Magnify
ⓘ
Symbols:
bei
ν
(
x
)
: Kelvin function
,
ber
ν
(
x
)
: Kelvin function
,
e
: base of natural logarithm
,
M
ν
(
x
)
: modulus of Bessel functions
and
x
: real variable
Permalink:
http://dlmf.nist.gov/10.62.F3
Encodings:
pdf
,
png
See also:
Annotations for
§10.62
and
Ch.10
Figure 10.62.4:
e
x
/
2
ker
x
,
e
x
/
2
kei
x
,
e
x
/
2
N
(
x
)
,
0
≤
x
≤
8
.
Magnify
ⓘ
Symbols:
kei
ν
(
x
)
: Kelvin function
,
ker
ν
(
x
)
: Kelvin function
,
e
: base of natural logarithm
,
N
ν
(
x
)
: modulus of derivatives of Bessel functions
and
x
: real variable
Permalink:
http://dlmf.nist.gov/10.62.F4
Encodings:
pdf
,
png
See also:
Annotations for
§10.62
and
Ch.10