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18
Orthogonal Polynomials
Classical Orthogonal Polynomials
18.4
Graphics
18.4
Graphics
18.5
Explicit Representations
Figure 18.4.2
(See
in context
.)
Figure 18.4.2:
Jacobi polynomials
P
n
(
1.25
,
0.75
)
(
x
)
,
n
=
7
,
8
. This illustrates inequalities for extrema of a Jacobi polynomial; see (
18.14.16
). See also
Askey (
1990
)
.
ⓘ
Annotations:
Symbols:
P
n
(
α
,
β
)
(
x
)
: Jacobi polynomial
,
n
: nonnegative integer
and
x
: real variable
Keywords:
Jacobi polynomials
,
graphs
Permalink:
http://dlmf.nist.gov/18.4.F2.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§18.4
and
Ch.18
