On Polar Legendre Polynomials

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dc.creatorCabrera, Héctor Pijeira
dc.creatorCruz, José Y. Bello
dc.creatorUrbina, Wilfredo
dc.date2007-09-28
dc.date.accessioned2026-07-07T08:32:51Z
dc.date.available2026-07-07T08:32:51Z
dc.descriptionWe introduce a new class of polynomials $\{P_{n}\}$, that we call polar Legendre polynomials, they appear as solutions of an inverse Gauss problem of equilibrium position of a field of forces with $n+1$ unit masses. We study algebraic, differential and asymptotic properties of this class of polynomials, that are simultaneously orthogonal with respect to a differential operator and a discrete-continuous Sobolev type inner product.
dc.identifierhttps://arxiv.org/abs/0709.4537
dc.identifierhttp://arxiv.org/abs/0709.4537
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138928
dc.subjectClassical Analysis and ODEs
dc.subjectAnalysis of PDEs
dc.subject42C05 ; 33C25
dc.titleOn Polar Legendre Polynomials
dc.typetext

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