کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643203 1341371 2007 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Second order partial differential equations for gradients of orthogonal polynomials in two variables
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Second order partial differential equations for gradients of orthogonal polynomials in two variables
چکیده انگلیسی

In this work, we introduce the classical orthogonal polynomials in two variables as the solutions of a matrix second order partial differential equation involving matrix polynomial coefficients, the usual gradient operator, and the divergence operator. Here we show that the successive gradients of these polynomials also satisfy a matrix second order partial differential equation closely related to the first one.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 199, Issue 1, 1 February 2007, Pages 113–121
نویسندگان
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