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18
Orthogonal Polynomials
Askey Scheme
18.21
Hahn Class: Interrelations
18.21
Hahn Class: Interrelations
18.22
Hahn Class: Recurrence Relations and Differences
Figure 18.21.1
(See
in context
.)
Figure 18.21.1:
Askey scheme. The number of free real parameters is zero for Hermite polynomials. It increases by one for each row ascended in the scheme, culminating with four free real parameters for the Wilson and Racah polynomials. (This is with the convention that the real and imaginary parts of the parameters are counted separately in the case of the continuous Hahn polynomials.)
ⓘ
Annotations:
Keywords:
Askey scheme for orthogonal polynomials
,
Askey–Wilson class orthogonal polynomials
,
Hahn class orthogonal polynomials
,
Hermite polynomials
,
Jacobi polynomials
,
Laguerre polynomials
,
Wilson class orthogonal polynomials
,
classical orthogonal polynomials
,
interrelations
,
interrelations with other orthogonal polynomials
,
with other orthogonal polynomials
Permalink:
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See also:
Annotations for
§18.21
and
Ch.18