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33
Coulomb Functions
Variables
Ο
,
Ξ·
33.3
Graphics
33.3
Graphics
33.4
Recurrence Relations and Derivatives
Figure 33.3.5
(See
in context
.)
Figure 33.3.5:
F
β
β‘
(
Ξ·
,
Ο
)
,
G
β
β‘
(
Ξ·
,
Ο
)
, and
M
β
β‘
(
Ξ·
,
Ο
)
with
β
=
0
,
Ξ·
=
15
/
2
. The turning point is at
Ο
tp
β‘
(
15
/
2
,
0
)
=
30
=
5.47
β’
β¦
.
β
Annotations:
Symbols:
Ο
tp
β‘
(
Ξ·
,
β
)
: outer turning point for Coulomb radial functions
,
M
β
β‘
(
Ξ·
,
Ο
)
: envelope of Coulomb functions
,
G
β
β‘
(
Ξ·
,
Ο
)
: irregular Coulomb radial function
,
F
β
β‘
(
Ξ·
,
Ο
)
: regular Coulomb radial function
,
β
: nonnegative integer
,
Ο
: nonnegative real variable
and
Ξ·
: real parameter
Permalink:
http://dlmf.nist.gov/33.3.F5.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
Β§33.3
and
Ch.33