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legendre: Coefficients of the $n$th order Legendre polynomial, $P_n(x)$
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code: |
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special.legendre(n[, monic])
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special.legendre(n)
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---
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title: |
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chebyt: Coefficients of the $n$th order Chebyshev polynomial of first kind, $T_n(x)$
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code: |
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special.chebyt(n[, monic])
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special.chebyt(n)
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---
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title: |
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chebyu: Coefficients of the $n$th order Chebyshev polynomial of second kind, $U_n(x)$
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code: |
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special.chebyu(n[, monic])
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special.chebyu(n)
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---
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title: |
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chebyc: Coefficients of the $n$th order Chebyshev polynomial of first kind, $C_n(x)$
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code: |
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special.chebyc(n[, monic])
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special.chebyc(n)
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---
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title: |
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chebys: Coefficients of the $n$th order Chebyshev polynomial of second kind, $S_n$(x)
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code: |
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special.chebys(n[, monic])
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special.chebys(n)
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---
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title: |
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jacobi: Coefficients of the $n$th order Jacobi polynomial, $P^(\alpha,\beta)_n(x)$ orthogonal over [-1,1] with weighting function $(1-x)^\alpha (1+x)^\beta$ with $\alpha,\beta > -1$
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code: |
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special.jacobi(n, alpha, beta[, monic])
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special.jacobi(n, alpha, beta)
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---
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title: |
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laguerre: Coefficients of the $n$th order Laguerre polynoimal, $L_n(x)$
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code: |
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special.laguerre(n[, monic])
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special.laguerre(n)
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---
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title: |
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genlaguerre: Coefficients of the $n$th order generalized (associated) Laguerre polynomial,
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code: |
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special.genlaguerre(n, alpha[, monic])
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special.genlaguerre(n, alpha)
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---
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title: |
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hermite: Coefficients of the $n$th order Hermite polynomial, $H_n(x)$, orthogonal over
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code: |
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special.hermite(n[, monic])
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special.hermite(n)
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---
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title: |
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hermitenorm: Coefficients of the $n$th order normalized Hermite polynomial, $He_n(x)$, orthogonal
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code: |
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special.hermitenorm(n[, monic])
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special.hermitenorm(n])
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---
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title: |
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gegenbauer: Coefficients of the $n$th order Gegenbauer (ultraspherical) polynomial,
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code: |
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special.gegenbauer(n, alpha[, monic])
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special.gegenbauer(n, alpha)
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---
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title: |
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sh_legendre: Coefficients of the $n$th order shifted Legendre polynomial, $P^\ast_n(x)$
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code: |
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special.sh_legendre(n[, monic])
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special.sh_legendre(n)
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---
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title: |
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sh_chebyt: Coefficients of $n$th order shifted Chebyshev polynomial of first kind, $T_n(x)$
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code: |
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special.sh_chebyt(n[, monic])
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special.sh_chebyt(n)
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---
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title: |
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sh_chebyu: Coefficients of the $n$th order shifted Chebyshev polynomial of second kind, $U_n(x)$
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code: |
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special.sh_chebyu(n[, monic])
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special.sh_chebyu(n)
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---
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title: |
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sh_jacobi: Coefficients of the $n$th order Jacobi polynomial, $G_n(p,q,x)$ orthogonal over [0,1] with weighting function $(1-x)^{p-q} x^{q-1}$ with $p>q-1$ and $q > 0$
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code: |
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special.sh_jacobi(n, p, q[, monic])
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special.sh_jacobi(n, p, q)
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---
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category: ['SciPy / Special Func', 'Hypergeometric Functions']
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