ON THE MODIFICATIONS OF CLASSICAL ORTHOGONAL POLYNOMIALS: THE SYMMETRIC CASE

ON THE MODIFICATIONS OF CLASSICAL ORTHOGONAL POLYNOMIALS: THE SYMMETRIC CASE

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摘要 We consider the modifications of the monic Hermite and Gegenbauer polynomials via the addition of one point mass at the origin. Some properties of the resulting polynomials are studied: three-term recurrence relation, differential equation, ratio asymptotics, hypergeometric representation as well as, for largen, the behaviour of their zeros. We consider the modifications of the monic Hermite and Gegenbauer polynomials via the addition of one point mass at the origin. Some properties of the resulting polynomials are studied: three-term recurrence relation, differential equation, ratio asymptotics, hypergeometric representation as well as, for largen, the behaviour of their zeros.

作者 R.Alvarez-Nodarse F.Marcellan

机构地区 Universidad Carlos Ⅲ de Madrid

出处《Analysis in Theory and Applications》 1998年第1期8-28,共0页 分析理论与应用（英文刊）

分类号 O174.14 [理学—基础数学]

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Analysis in Theory and Applications

1998年第1期

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ON THE MODIFICATIONS OF CLASSICAL ORTHOGONAL POLYNOMIALS: THE SYMMETRIC CASE

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