Laguerre polynomials
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1: 18.3 Definitions
§18.3 Definitions
►The classical OP’s comprise the Jacobi, Laguerre and Hermite polynomials. … ►Name | Constraints | ||||||
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Laguerre | |||||||
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2: 18.4 Graphics
3: 18.36 Miscellaneous Polynomials
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§18.36(v) Non-Classical Laguerre Polynomials ,
… ►For the Laguerre polynomials this requires, omitting all strictly positive factors, … ►The resulting EOP’s, , satisfy … ►
18.36.5
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►The 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:
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4: 18.8 Differential Equations
5: 18.41 Tables
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►For () see §14.33.
►Abramowitz and Stegun (1964, Tables 22.4, 22.6, 22.11, and 22.13) tabulates , , , and for .
The ranges of are for and , and for and .
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►For , , and see §3.5(v).
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