A general method for deriving some semi-classical properties of perturbed second degree forms: The case of the Chebyshev form of second kind

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• 作者：Zé ; lia da Rocha ^{mrdioh@fc.up.pt" class="auth_mail" title="E-mail the corresponding author}
• 关键词：34 ; 33C45 ; 33D45 ; 42C05 ; 33F10 ; 68W30 ; 62-09 ; 33F05 ; 65D20 ; 68-04
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：296
• 期：Complete
• 页码：677-689
• 全文大小：454 K

文摘

We present a new general method and the corresponding symbolic algorithm PSDF for deriving some semi-classical properties of perturbed second degree forms namely: the Stieltjes function, the Stieltjes equation, the functional equation, the class, a structure relation and the second order linear differential equation. We give new explicit results for some perturbed of order 3 of the second kind Chebyshev polynomials.