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Gauss–Laguerre Formula… ► ► ► ►
§18.5(ii) Rodrigues Formulas… ►Related formula: … ►
Laguerre… ►For corresponding formulas for Chebyshev, Legendre, and the Hermite polynomials apply (18.7.3)–(18.7.6), (18.7.9), and (18.7.11). … ►
The wording was changed to make the integration variable more apparent.
Additional keywords are being added to formulas (an ongoing project); these are visible in the associated ‘info boxes’ linked to the icons to the right of each formula, and provide better search capabilities.
The generalized hypergeometric function of matrix argument , was linked inadvertently as its single variable counterpart . Furthermore, the Jacobi function of matrix argument , and the Laguerre function of matrix argument , were also linked inadvertently (and incorrectly) in terms of the single variable counterparts given by , and . In order to resolve these inconsistencies, these functions now link correctly to their respective definitions.
Sentences were added specifying that some equations in these subsections require special care under certain circumstances. Also, (15.4.6) was expanded by adding the formula .
Report by Louis Klauder on 2017-01-01.
Because of the use of the order symbol on the right-hand side, the asymptotic expansion for the generalized Laguerre polynomial was rewritten as an equality.