کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598856 1631108 2015 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A matrix characterization for the DνDν-semiclassical and DνDν-coherent orthogonal polynomials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A matrix characterization for the DνDν-semiclassical and DνDν-coherent orthogonal polynomials
چکیده انگلیسی

We present a new structure relation for the sequence of orthogonal polynomials associated with a DνDν-semiclassical linear functional of class s  , and then we use it to obtain a matrix characterization of the DνDν-semiclassical orthogonal polynomials in terms of the Jacobi matrix associated with the multiplication operator in the basis of orthonormal polynomials, and the nonsingular lower triangular matrix that represents the orthogonal polynomials with respect to some bases of polynomials. We also provide a matrix characterization of DνDν-coherent pairs of linear functionals.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 487, 15 December 2015, Pages 242–259
نویسندگان
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