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Jacobi transform
Integral transformation using Jacobi polynomials as kernels
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Statements
subclass of
integral transform
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named after
Carl Gustav Jacob Jacobi
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defining formula
J
{
F
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x
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}
=
f
α
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β
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n
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=
∫
−
1
1
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1
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x
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α
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1
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x
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β
P
n
α
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β
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x
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F
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x
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d
x
{\displaystyle J\{F(x)\}=f^{\alpha ,\beta }(n)=\int _{-1}^{1}(1-x)^{\alpha }\ (1+x)^{\beta }\ P_{n}^{\alpha ,\beta }(x)\ F(x)\ dx}
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Identifiers
Google Knowledge Graph ID
/g/11csrtsxvr
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Great Russian Encyclopedia portal ID
preobrazovanie-iakobi-22158b
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Sitelinks
Wikipedia
(2 entries)
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dewiki
Jacobi-Transformation
enwiki
Jacobi transform
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