کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643424 1341380 2006 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Extensions of some results of P. Humbert on Bezout's identity for classical orthogonal polynomials
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Extensions of some results of P. Humbert on Bezout's identity for classical orthogonal polynomials
چکیده انگلیسی

In this paper, the Bezout's identity is analyzed in the context of classical orthogonal polynomials solution of a second order differential equation of hypergeometric type. Differential equations, relation with the starting family as well as recurrence relations and explicit representations are given for the Bezout's pair. Extensions to classical orthogonal polynomials of a discrete variable and their q-analogues are also presented. Applications of these results for the representation of the second kind functions are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 196, Issue 1, 1 November 2006, Pages 212–228
نویسندگان
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