کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642698 1341353 2007 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Electrostatic models for zeros of polynomials: Old, new, and some open problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Electrostatic models for zeros of polynomials: Old, new, and some open problems
چکیده انگلیسی

We give a survey concerning both very classical and recent results on the electrostatic interpretation of the zeros of some well-known families of polynomials, and the interplay between these models and the asymptotic distribution of their zeros when the degree of the polynomials tends to infinity. The leading role is played by the differential equation satisfied by these polynomials. Some new developments, applications and open problems are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 207, Issue 2, 15 October 2007, Pages 258–272
نویسندگان
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