On Polar Legendre Polynomials
نویسندگان
چکیده
We introduce a new class of polynomials {Pn}, 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. Mathematics Subject Classification: Primary 42C05 ; Secondary 33C25.
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