On polar Legendre polynomials

Pijeira, Héctor; Bello, José Y.; Urbina, Wilfredo

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On polar Legendre polynomials

Autor(es): Pijeira, Héctor; Bello, José Y.; Urbina, Wilfredo

Editorial: Rocky Mountain Mathematics Consortium

Fecha de edición: 2010

Cita: Rocky Mountain Journal of Mathematics, 2010 (In press)

ISSN: 0035-7596

Agradecimientos: Research by first author (H.P.) was partially supported by Dirección General de Investigación, Ministerio de Ciencia y Tecnología de España, under grant MTM2006-13000-C03-02, by Comunidad de Madrid-Universidad Carlos III de Madrid, under grant CCG06-UC3M/EST-0690 and by Centro de Investigación Matemática de Canarias (CIMAC). Research by second author (J.Y.B.) was supported by CNPq-TWAS. Research by third author (W.U.) was partially supported by Centro de Investigación Matemática de Canarias (CIMAC).

Revisado: NonPeerReviewed

Versión del editor: http://rmmc.asu.edu/rmj/rmj.html

Palabras clave: Orthogonal polynomials , Recurrence relation , Zero location , Asymptotic behavior

URI: http://hdl.handle.net/10016/6562

Resumen:

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 p [+]