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2004•Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de ZaragozaRequires access

Trajectories of zeros of Sobolev-Gegengauer orthogonal polynomials

Jorge Delgado Gracia, Roberto Barrio Gil

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Abstract

In this paper we study the distribution of the zeros of a particular family of Sobolev-Gegenbauer polynomials. We show graphically that their behaviour is much more complicated that in the standard case when the parameter ? of the Gegenbauer family is changed.

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What this paper is about

In this paper we study the distribution of the zeros of a particular family of Sobolev-Gegenbauer polynomials. We show graphically that their behaviour is much more complicated that in the standard case when the parameter ? of the Gegenbauer family is changed.

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Available abstract

In this paper we study the distribution of the zeros of a particular family of Sobolev-Gegenbauer polynomials. We show graphically that their behaviour is much more complicated that in the standard case when the parameter ? of the Gegenbauer family is changed.

Key concepts: Gegenbauer polynomials, Orthogonal polynomials, Mathematics, Sobolev space, Classical orthogonal polynomials, Jacobi polynomials, Discrete orthogonal polynomials, Wilson polynomials

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