马耳他驾驶证假的多少钱〖办证V信ATV1819〗exception

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1: 18.36 Miscellaneous Polynomials

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§18.36(vi) Exceptional Orthogonal Polynomials

… ►The exceptional type III $X_m$-EOP’s are missing orders $1,\mathrm{\dots },m$. … ►The resulting EOP’s, ${\widehat{L}}_n^{(k)}\left(x\right)$, $n=1,2,\mathrm{\dots }$ satisfy … ►The $y(x)={\widehat{L}}_n^{(k)}\left(x\right)$ satisfy a second order Sturm–Liouville eigenvalue problem of the type illustrated in Table 18.8.1, as satisfied by classical OP’s, but now with rational, rather than polynomial coefficients: … ►The type III $X_2$-Hermite EOP’s, missing polynomial orders $1$ and $2$, are the complete set of polynomials, with real coefficients and defined explicitly as …

2: 19.38 Approximations

§19.38 Approximations

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3: Bibliography Q

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Higher-Order SUSY, Exactly Solvable Potentials, and Exceptional Orthogonal Polynomials. Modern Physics Letters A 26, pp. 1843–1852.

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Referenced by:

§18.38(iii).

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4: 18.41 Tables

… ►The precision is 10D, except for $H_n\left(x\right)$ which is 6-11S. …

5: 25.1 Special Notation

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$k,m,n$	nonnegative integers.
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$\psi \left(x\right)$	digamma function ${\mathrm{\Gamma }}^{\prime }\left(x\right)/\mathrm{\Gamma }\left(x\right)$ except in §25.16. See §5.2(i).
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6: 22.1 Special Notation

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$x,y$	real variables.
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$k$	modulus. Except in §§22.3(iv), 22.17, and 22.19, $0\le k\le 1$.
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$q$	nome. except in §22.17; see also §20.1.
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7: 23.1 Special Notation

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$𝕃$	lattice in $ℂ$.
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$m$	integer, except in §23.20(ii).
$z=x+\mathrm{i}y$	complex variable, except in §§23.20(ii), 23.21(iii).
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primes	derivatives with respect to the variable, except where indicated otherwise.
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8: 28.7 Analytic Continuation of Eigenvalues

… ►The branch points are called the exceptional values, and the other points normal values. The normal values are simple roots of the corresponding equations (28.2.21) and (28.2.22). …

9: 1.1 Special Notation

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$x,y$	real variables.
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primes	derivatives with respect to the variable, except where indicated otherwise.
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10: 5.1 Special Notation

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$j,m,n$	nonnegative integers.
$k$	nonnegative integer, except in §5.20.
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