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[[Legendre function]] is solution \(F\) of equation ...(\ell\), the solution is called [[LegendreP]]\(_\ell\), or "the [[Legendre polynomial]]"

[[LegendreP]] refers to the [[Legendre function]] and to the [[Legendre polynomial]]. ==[[Legendre polynomial]]==

the solution \(F\) is called [[Legendre function]]. However, the restriction is necessary to use the [[Legendre function]] for the [[Hydrogen wave function]].

[[Gauss-Legendre quadrature]] and [[Gauss-Legendre quadrature]] appear to be special case of such an application.

Its solutions can be expressed in therm of the [[Legendre function]]s. For existence of the regular (periodic) solution, parameter \( The solution can be expressed through the [[Laguerre Polynomial]].

where [[LegendreP]] is associated [[Legendre function]], ...k=\frac{1}{2n}\); then, for positive integer \(n\), the solution \(f\) is polynomial,