- Allordinarypolynomialshaveseriesexpansionoforthogonalpolynomials,whileLegendrepolynomials,HermitepolynomialsandLaguerrepolynomialsarespecialorthogonalpolynomials.ThispaperdemonstratesthegeneralizedRolletheoremanddiscussedthezeroofLegendrepolynomials....
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- ThispaperdemonstratesthegeneralizedRolletheoremanddiscussedthezeroofLegendrepolynomials.Accordingtothedesiredaccuracy,wedeterminethenumberoftermsintheFourierseriesandLegendrepolynomials,thenthePracticalsimplifiedformulaeareobtained.Allordinarypolynom...
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- IterativeArithmeticofLegendreSeriesCoordinationInverseSolutiononTerrestrialEllipsoidThehigher-orderhierarchicalLegendrebasisfunctionsbasedMOMisintroduced,andtheAIMisemployedtoacceleratethesolvingprocedure....
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